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Simplifying 4(k + -12) + -8(k + -12) = 0 Reorder the terms: 4(-12 + k) + -8(k + -12) = 0 (-12 * 4 + k * 4) + -8(k + -12) = 0 (-48 + 4k) + -8(k + -12) = 0 Reorder the terms: -48 + 4k + -8(-12 + k) = 0 -48 + 4k + (-12 * -8 + k * -8) = 0 -48 + 4k + (96 + -8k) = 0 Reorder the terms: -48 + 96 + 4k + -8k = 0 Combine like terms: -48 + 96 = 48 48 + 4k + -8k = 0 Combine like terms: 4k + -8k = -4k 48 + -4k = 0 Solving 48 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -4k = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -4k = 0 + -48 -4k = 0 + -48 Combine like terms: 0 + -48 = -48 -4k = -48 Divide each side by '-4'. k = 12 Simplifying k = 12
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