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Simplifying -4(1 + -3k) + -7 = -107 (1 * -4 + -3k * -4) + -7 = -107 (-4 + 12k) + -7 = -107 Reorder the terms: -4 + -7 + 12k = -107 Combine like terms: -4 + -7 = -11 -11 + 12k = -107 Solving -11 + 12k = -107 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12k = -107 + 11 Combine like terms: -11 + 11 = 0 0 + 12k = -107 + 11 12k = -107 + 11 Combine like terms: -107 + 11 = -96 12k = -96 Divide each side by '12'. k = -8 Simplifying k = -8
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