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Simplifying 106 = 4 + 3(5k + -6) Reorder the terms: 106 = 4 + 3(-6 + 5k) 106 = 4 + (-6 * 3 + 5k * 3) 106 = 4 + (-18 + 15k) Combine like terms: 4 + -18 = -14 106 = -14 + 15k Solving 106 = -14 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 106 + -15k = -14 + 15k + -15k Combine like terms: 15k + -15k = 0 106 + -15k = -14 + 0 106 + -15k = -14 Add '-106' to each side of the equation. 106 + -106 + -15k = -14 + -106 Combine like terms: 106 + -106 = 0 0 + -15k = -14 + -106 -15k = -14 + -106 Combine like terms: -14 + -106 = -120 -15k = -120 Divide each side by '-15'. k = 8 Simplifying k = 8
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