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Simplifying 4(k + -4) = -2(-4k + -5) Reorder the terms: 4(-4 + k) = -2(-4k + -5) (-4 * 4 + k * 4) = -2(-4k + -5) (-16 + 4k) = -2(-4k + -5) Reorder the terms: -16 + 4k = -2(-5 + -4k) -16 + 4k = (-5 * -2 + -4k * -2) -16 + 4k = (10 + 8k) Solving -16 + 4k = 10 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -16 + 4k + -8k = 10 + 8k + -8k Combine like terms: 4k + -8k = -4k -16 + -4k = 10 + 8k + -8k Combine like terms: 8k + -8k = 0 -16 + -4k = 10 + 0 -16 + -4k = 10 Add '16' to each side of the equation. -16 + 16 + -4k = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -4k = 10 + 16 -4k = 10 + 16 Combine like terms: 10 + 16 = 26 -4k = 26 Divide each side by '-4'. k = -6.5 Simplifying k = -6.5
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