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Simplifying 172 = -8(4k + -6) + -4 Reorder the terms: 172 = -8(-6 + 4k) + -4 172 = (-6 * -8 + 4k * -8) + -4 172 = (48 + -32k) + -4 Reorder the terms: 172 = 48 + -4 + -32k Combine like terms: 48 + -4 = 44 172 = 44 + -32k Solving 172 = 44 + -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 = 44 + -32k + 32k Combine like terms: -32k + 32k = 0 172 + 32k = 44 + 0 172 + 32k = 44 Add '-172' to each side of the equation. 172 + -172 + 32k = 44 + -172 Combine like terms: 172 + -172 = 0 0 + 32k = 44 + -172 32k = 44 + -172 Combine like terms: 44 + -172 = -128 32k = -128 Divide each side by '32'. k = -4 Simplifying k = -4
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