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Simplifying 4(w + -8) = 7w + -20 Reorder the terms: 4(-8 + w) = 7w + -20 (-8 * 4 + w * 4) = 7w + -20 (-32 + 4w) = 7w + -20 Reorder the terms: -32 + 4w = -20 + 7w Solving -32 + 4w = -20 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -32 + 4w + -7w = -20 + 7w + -7w Combine like terms: 4w + -7w = -3w -32 + -3w = -20 + 7w + -7w Combine like terms: 7w + -7w = 0 -32 + -3w = -20 + 0 -32 + -3w = -20 Add '32' to each side of the equation. -32 + 32 + -3w = -20 + 32 Combine like terms: -32 + 32 = 0 0 + -3w = -20 + 32 -3w = -20 + 32 Combine like terms: -20 + 32 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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