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Simplifying -20 + 4k = 4(3k + -3) Reorder the terms: -20 + 4k = 4(-3 + 3k) -20 + 4k = (-3 * 4 + 3k * 4) -20 + 4k = (-12 + 12k) Solving -20 + 4k = -12 + 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. -20 + 4k + -12k = -12 + 12k + -12k Combine like terms: 4k + -12k = -8k -20 + -8k = -12 + 12k + -12k Combine like terms: 12k + -12k = 0 -20 + -8k = -12 + 0 -20 + -8k = -12 Add '20' to each side of the equation. -20 + 20 + -8k = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -8k = -12 + 20 -8k = -12 + 20 Combine like terms: -12 + 20 = 8 -8k = 8 Divide each side by '-8'. k = -1 Simplifying k = -1
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