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Simplifying 4(k + -8) + -3k = -5(-1) Reorder the terms: 4(-8 + k) + -3k = -5(-1) (-8 * 4 + k * 4) + -3k = -5(-1) (-32 + 4k) + -3k = -5(-1) Combine like terms: 4k + -3k = 1k -32 + 1k = -5(-1) Multiply -5 * -1 -32 + 1k = 5 Solving -32 + 1k = 5 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 + 1k = 5 + 32 Combine like terms: -32 + 32 = 0 0 + 1k = 5 + 32 1k = 5 + 32 Combine like terms: 5 + 32 = 37 1k = 37 Divide each side by '1'. k = 37 Simplifying k = 37
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