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Simplifying 8(k + -3) + 8(8k + -4) = -56 Reorder the terms: 8(-3 + k) + 8(8k + -4) = -56 (-3 * 8 + k * 8) + 8(8k + -4) = -56 (-24 + 8k) + 8(8k + -4) = -56 Reorder the terms: -24 + 8k + 8(-4 + 8k) = -56 -24 + 8k + (-4 * 8 + 8k * 8) = -56 -24 + 8k + (-32 + 64k) = -56 Reorder the terms: -24 + -32 + 8k + 64k = -56 Combine like terms: -24 + -32 = -56 -56 + 8k + 64k = -56 Combine like terms: 8k + 64k = 72k -56 + 72k = -56 Add '56' to each side of the equation. -56 + 56 + 72k = -56 + 56 Combine like terms: -56 + 56 = 0 0 + 72k = -56 + 56 72k = -56 + 56 Combine like terms: -56 + 56 = 0 72k = 0 Solving 72k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '72'. k = 0 Simplifying k = 0
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