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Simplifying 4(2x + -2) = 8x + k Reorder the terms: 4(-2 + 2x) = 8x + k (-2 * 4 + 2x * 4) = 8x + k (-8 + 8x) = 8x + k Reorder the terms: -8 + 8x = k + 8x Add '-8x' to each side of the equation. -8 + 8x + -8x = k + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 0 = k + 8x + -8x -8 = k + 8x + -8x Combine like terms: 8x + -8x = 0 -8 = k + 0 -8 = k Solving -8 = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -8 + -1k = k + -1k Combine like terms: k + -1k = 0 -8 + -1k = 0 Add '8' to each side of the equation. -8 + 8 + -1k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1k = 0 + 8 -1k = 0 + 8 Combine like terms: 0 + 8 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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