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Simplifying 4(w + -1) = 3(w + -1) Reorder the terms: 4(-1 + w) = 3(w + -1) (-1 * 4 + w * 4) = 3(w + -1) (-4 + 4w) = 3(w + -1) Reorder the terms: -4 + 4w = 3(-1 + w) -4 + 4w = (-1 * 3 + w * 3) -4 + 4w = (-3 + 3w) Solving -4 + 4w = -3 + 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. -4 + 4w + -3w = -3 + 3w + -3w Combine like terms: 4w + -3w = 1w -4 + 1w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 -4 + 1w = -3 + 0 -4 + 1w = -3 Add '4' to each side of the equation. -4 + 4 + 1w = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 1w = -3 + 4 1w = -3 + 4 Combine like terms: -3 + 4 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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