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Simplifying -5k + -1(5k + 12) = 13 Reorder the terms: -5k + -1(12 + 5k) = 13 -5k + (12 * -1 + 5k * -1) = 13 -5k + (-12 + -5k) = 13 Reorder the terms: -12 + -5k + -5k = 13 Combine like terms: -5k + -5k = -10k -12 + -10k = 13 Solving -12 + -10k = 13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -10k = 13 + 12 Combine like terms: -12 + 12 = 0 0 + -10k = 13 + 12 -10k = 13 + 12 Combine like terms: 13 + 12 = 25 -10k = 25 Divide each side by '-10'. k = -2.5 Simplifying k = -2.5
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