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Simplifying -5k + -1(3k + -8) = -48 Reorder the terms: -5k + -1(-8 + 3k) = -48 -5k + (-8 * -1 + 3k * -1) = -48 -5k + (8 + -3k) = -48 Reorder the terms: 8 + -5k + -3k = -48 Combine like terms: -5k + -3k = -8k 8 + -8k = -48 Solving 8 + -8k = -48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -8k = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -8k = -48 + -8 -8k = -48 + -8 Combine like terms: -48 + -8 = -56 -8k = -56 Divide each side by '-8'. k = 7 Simplifying k = 7
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