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Simplifying -5k + -3(k + -5) = 63 Reorder the terms: -5k + -3(-5 + k) = 63 -5k + (-5 * -3 + k * -3) = 63 -5k + (15 + -3k) = 63 Reorder the terms: 15 + -5k + -3k = 63 Combine like terms: -5k + -3k = -8k 15 + -8k = 63 Solving 15 + -8k = 63 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8k = 63 + -15 Combine like terms: 15 + -15 = 0 0 + -8k = 63 + -15 -8k = 63 + -15 Combine like terms: 63 + -15 = 48 -8k = 48 Divide each side by '-8'. k = -6 Simplifying k = -6
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