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Simplifying -8(k + -6) = -4(k + -4) Reorder the terms: -8(-6 + k) = -4(k + -4) (-6 * -8 + k * -8) = -4(k + -4) (48 + -8k) = -4(k + -4) Reorder the terms: 48 + -8k = -4(-4 + k) 48 + -8k = (-4 * -4 + k * -4) 48 + -8k = (16 + -4k) Solving 48 + -8k = 16 + -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. 48 + -8k + 4k = 16 + -4k + 4k Combine like terms: -8k + 4k = -4k 48 + -4k = 16 + -4k + 4k Combine like terms: -4k + 4k = 0 48 + -4k = 16 + 0 48 + -4k = 16 Add '-48' to each side of the equation. 48 + -48 + -4k = 16 + -48 Combine like terms: 48 + -48 = 0 0 + -4k = 16 + -48 -4k = 16 + -48 Combine like terms: 16 + -48 = -32 -4k = -32 Divide each side by '-4'. k = 8 Simplifying k = 8
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