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Simplifying -3(4k + 4) = -4(k + 5) Reorder the terms: -3(4 + 4k) = -4(k + 5) (4 * -3 + 4k * -3) = -4(k + 5) (-12 + -12k) = -4(k + 5) Reorder the terms: -12 + -12k = -4(5 + k) -12 + -12k = (5 * -4 + k * -4) -12 + -12k = (-20 + -4k) Solving -12 + -12k = -20 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -12 + -12k + 4k = -20 + -4k + 4k Combine like terms: -12k + 4k = -8k -12 + -8k = -20 + -4k + 4k Combine like terms: -4k + 4k = 0 -12 + -8k = -20 + 0 -12 + -8k = -20 Add '12' to each side of the equation. -12 + 12 + -8k = -20 + 12 Combine like terms: -12 + 12 = 0 0 + -8k = -20 + 12 -8k = -20 + 12 Combine like terms: -20 + 12 = -8 -8k = -8 Divide each side by '-8'. k = 1 Simplifying k = 1
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