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Simplifying -172 = 4k + 4(7k + -3) Reorder the terms: -172 = 4k + 4(-3 + 7k) -172 = 4k + (-3 * 4 + 7k * 4) -172 = 4k + (-12 + 28k) Reorder the terms: -172 = -12 + 4k + 28k Combine like terms: 4k + 28k = 32k -172 = -12 + 32k Solving -172 = -12 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. -172 + -32k = -12 + 32k + -32k Combine like terms: 32k + -32k = 0 -172 + -32k = -12 + 0 -172 + -32k = -12 Add '172' to each side of the equation. -172 + 172 + -32k = -12 + 172 Combine like terms: -172 + 172 = 0 0 + -32k = -12 + 172 -32k = -12 + 172 Combine like terms: -12 + 172 = 160 -32k = 160 Divide each side by '-32'. k = -5 Simplifying k = -5
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