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Simplifying 8(w + -4) = 5w + -2 Reorder the terms: 8(-4 + w) = 5w + -2 (-4 * 8 + w * 8) = 5w + -2 (-32 + 8w) = 5w + -2 Reorder the terms: -32 + 8w = -2 + 5w Solving -32 + 8w = -2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -32 + 8w + -5w = -2 + 5w + -5w Combine like terms: 8w + -5w = 3w -32 + 3w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 -32 + 3w = -2 + 0 -32 + 3w = -2 Add '32' to each side of the equation. -32 + 32 + 3w = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 3w = -2 + 32 3w = -2 + 32 Combine like terms: -2 + 32 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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