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Simplifying 4(w + -2) = 3(w + 5) Reorder the terms: 4(-2 + w) = 3(w + 5) (-2 * 4 + w * 4) = 3(w + 5) (-8 + 4w) = 3(w + 5) Reorder the terms: -8 + 4w = 3(5 + w) -8 + 4w = (5 * 3 + w * 3) -8 + 4w = (15 + 3w) Solving -8 + 4w = 15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -8 + 4w + -3w = 15 + 3w + -3w Combine like terms: 4w + -3w = 1w -8 + 1w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 1w = 15 + 0 -8 + 1w = 15 Add '8' to each side of the equation. -8 + 8 + 1w = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 1w = 15 + 8 1w = 15 + 8 Combine like terms: 15 + 8 = 23 1w = 23 Divide each side by '1'. w = 23 Simplifying w = 23
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