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Simplifying -151 = 5k + -8(-8k + -7) Reorder the terms: -151 = 5k + -8(-7 + -8k) -151 = 5k + (-7 * -8 + -8k * -8) -151 = 5k + (56 + 64k) Reorder the terms: -151 = 56 + 5k + 64k Combine like terms: 5k + 64k = 69k -151 = 56 + 69k Solving -151 = 56 + 69k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-69k' to each side of the equation. -151 + -69k = 56 + 69k + -69k Combine like terms: 69k + -69k = 0 -151 + -69k = 56 + 0 -151 + -69k = 56 Add '151' to each side of the equation. -151 + 151 + -69k = 56 + 151 Combine like terms: -151 + 151 = 0 0 + -69k = 56 + 151 -69k = 56 + 151 Combine like terms: 56 + 151 = 207 -69k = 207 Divide each side by '-69'. k = -3 Simplifying k = -3
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