QuestionAugust 24, 2025

Solve for k. 7vert 4k+8vert +5=5 Write your answers as integers or as proper or improper fractions in simplest form. k= square or k= square

Solve for k. 7vert 4k+8vert +5=5 Write your answers as integers or as proper or improper fractions in simplest form. k= square or k= square
Solve for k.
7vert 4k+8vert +5=5
Write your answers as integers or as proper or improper fractions in simplest form.
k= square  or k= square

Solution
4.6(238 votes)

Answer

k = -2 Explanation 1. Simplify the equation Subtract 5 from both sides: 7\vert 4k+8\vert = 0. 2. Solve for absolute value Divide by 7: \vert 4k+8\vert = 0. 3. Remove absolute value Since \vert x \vert = 0 implies x = 0, set 4k + 8 = 0. 4. Solve for k Subtract 8 from both sides: 4k = -8. Divide by 4: k = -2.

Explanation

1. Simplify the equation<br /> Subtract 5 from both sides: $7\vert 4k+8\vert = 0$.<br /><br />2. Solve for absolute value<br /> Divide by 7: $\vert 4k+8\vert = 0$.<br /><br />3. Remove absolute value<br /> Since $\vert x \vert = 0$ implies $x = 0$, set $4k + 8 = 0$.<br /><br />4. Solve for k<br /> Subtract 8 from both sides: $4k = -8$.<br /> Divide by 4: $k = -2$.
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