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Simplifying -100 = 4(3k + -4) Reorder the terms: -100 = 4(-4 + 3k) -100 = (-4 * 4 + 3k * 4) -100 = (-16 + 12k) Solving -100 = -16 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -100 + -12k = -16 + 12k + -12k Combine like terms: 12k + -12k = 0 -100 + -12k = -16 + 0 -100 + -12k = -16 Add '100' to each side of the equation. -100 + 100 + -12k = -16 + 100 Combine like terms: -100 + 100 = 0 0 + -12k = -16 + 100 -12k = -16 + 100 Combine like terms: -16 + 100 = 84 -12k = 84 Divide each side by '-12'. k = -7 Simplifying k = -7
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