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Simplifying -5(3k + -8) + -8(1 + 6k) = -31 Reorder the terms: -5(-8 + 3k) + -8(1 + 6k) = -31 (-8 * -5 + 3k * -5) + -8(1 + 6k) = -31 (40 + -15k) + -8(1 + 6k) = -31 40 + -15k + (1 * -8 + 6k * -8) = -31 40 + -15k + (-8 + -48k) = -31 Reorder the terms: 40 + -8 + -15k + -48k = -31 Combine like terms: 40 + -8 = 32 32 + -15k + -48k = -31 Combine like terms: -15k + -48k = -63k 32 + -63k = -31 Solving 32 + -63k = -31 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -63k = -31 + -32 Combine like terms: 32 + -32 = 0 0 + -63k = -31 + -32 -63k = -31 + -32 Combine like terms: -31 + -32 = -63 -63k = -63 Divide each side by '-63'. k = 1 Simplifying k = 1
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