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Simplifying 2(-8 + 3k) = -4(-2k + 2) (-8 * 2 + 3k * 2) = -4(-2k + 2) (-16 + 6k) = -4(-2k + 2) Reorder the terms: -16 + 6k = -4(2 + -2k) -16 + 6k = (2 * -4 + -2k * -4) -16 + 6k = (-8 + 8k) Solving -16 + 6k = -8 + 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 + 6k + -8k = -8 + 8k + -8k Combine like terms: 6k + -8k = -2k -16 + -2k = -8 + 8k + -8k Combine like terms: 8k + -8k = 0 -16 + -2k = -8 + 0 -16 + -2k = -8 Add '16' to each side of the equation. -16 + 16 + -2k = -8 + 16 Combine like terms: -16 + 16 = 0 0 + -2k = -8 + 16 -2k = -8 + 16 Combine like terms: -8 + 16 = 8 -2k = 8 Divide each side by '-2'. k = -4 Simplifying k = -4
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