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Simplifying 8(k + 3) + -12(k + -10) = 0 Reorder the terms: 8(3 + k) + -12(k + -10) = 0 (3 * 8 + k * 8) + -12(k + -10) = 0 (24 + 8k) + -12(k + -10) = 0 Reorder the terms: 24 + 8k + -12(-10 + k) = 0 24 + 8k + (-10 * -12 + k * -12) = 0 24 + 8k + (120 + -12k) = 0 Reorder the terms: 24 + 120 + 8k + -12k = 0 Combine like terms: 24 + 120 = 144 144 + 8k + -12k = 0 Combine like terms: 8k + -12k = -4k 144 + -4k = 0 Solving 144 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + -4k = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -4k = 0 + -144 -4k = 0 + -144 Combine like terms: 0 + -144 = -144 -4k = -144 Divide each side by '-4'. k = 36 Simplifying k = 36
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