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Simplifying 4(k + -3) + -1(3k + -8) = -5 Reorder the terms: 4(-3 + k) + -1(3k + -8) = -5 (-3 * 4 + k * 4) + -1(3k + -8) = -5 (-12 + 4k) + -1(3k + -8) = -5 Reorder the terms: -12 + 4k + -1(-8 + 3k) = -5 -12 + 4k + (-8 * -1 + 3k * -1) = -5 -12 + 4k + (8 + -3k) = -5 Reorder the terms: -12 + 8 + 4k + -3k = -5 Combine like terms: -12 + 8 = -4 -4 + 4k + -3k = -5 Combine like terms: 4k + -3k = 1k -4 + 1k = -5 Solving -4 + 1k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1k = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 1k = -5 + 4 1k = -5 + 4 Combine like terms: -5 + 4 = -1 1k = -1 Divide each side by '1'. k = -1 Simplifying k = -1
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