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Simplifying -4(8k + 4) + -5(3k + -8) = 71 Reorder the terms: -4(4 + 8k) + -5(3k + -8) = 71 (4 * -4 + 8k * -4) + -5(3k + -8) = 71 (-16 + -32k) + -5(3k + -8) = 71 Reorder the terms: -16 + -32k + -5(-8 + 3k) = 71 -16 + -32k + (-8 * -5 + 3k * -5) = 71 -16 + -32k + (40 + -15k) = 71 Reorder the terms: -16 + 40 + -32k + -15k = 71 Combine like terms: -16 + 40 = 24 24 + -32k + -15k = 71 Combine like terms: -32k + -15k = -47k 24 + -47k = 71 Solving 24 + -47k = 71 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -47k = 71 + -24 Combine like terms: 24 + -24 = 0 0 + -47k = 71 + -24 -47k = 71 + -24 Combine like terms: 71 + -24 = 47 -47k = 47 Divide each side by '-47'. k = -1 Simplifying k = -1
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