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Simplifying 4(5k + 2) + 3(-4k + -4) = -48 Reorder the terms: 4(2 + 5k) + 3(-4k + -4) = -48 (2 * 4 + 5k * 4) + 3(-4k + -4) = -48 (8 + 20k) + 3(-4k + -4) = -48 Reorder the terms: 8 + 20k + 3(-4 + -4k) = -48 8 + 20k + (-4 * 3 + -4k * 3) = -48 8 + 20k + (-12 + -12k) = -48 Reorder the terms: 8 + -12 + 20k + -12k = -48 Combine like terms: 8 + -12 = -4 -4 + 20k + -12k = -48 Combine like terms: 20k + -12k = 8k -4 + 8k = -48 Solving -4 + 8k = -48 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 + 8k = -48 + 4 Combine like terms: -4 + 4 = 0 0 + 8k = -48 + 4 8k = -48 + 4 Combine like terms: -48 + 4 = -44 8k = -44 Divide each side by '8'. k = -5.5 Simplifying k = -5.5
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