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Simplifying -114 = -3 + -3(1 + 6k) -114 = -3 + (1 * -3 + 6k * -3) -114 = -3 + (-3 + -18k) Combine like terms: -3 + -3 = -6 -114 = -6 + -18k Solving -114 = -6 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. -114 + 18k = -6 + -18k + 18k Combine like terms: -18k + 18k = 0 -114 + 18k = -6 + 0 -114 + 18k = -6 Add '114' to each side of the equation. -114 + 114 + 18k = -6 + 114 Combine like terms: -114 + 114 = 0 0 + 18k = -6 + 114 18k = -6 + 114 Combine like terms: -6 + 114 = 108 18k = 108 Divide each side by '18'. k = 6 Simplifying k = 6
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