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Simplifying -3(5k + 1) + -1 = 116 Reorder the terms: -3(1 + 5k) + -1 = 116 (1 * -3 + 5k * -3) + -1 = 116 (-3 + -15k) + -1 = 116 Reorder the terms: -3 + -1 + -15k = 116 Combine like terms: -3 + -1 = -4 -4 + -15k = 116 Solving -4 + -15k = 116 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 + -15k = 116 + 4 Combine like terms: -4 + 4 = 0 0 + -15k = 116 + 4 -15k = 116 + 4 Combine like terms: 116 + 4 = 120 -15k = 120 Divide each side by '-15'. k = -8 Simplifying k = -8
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