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Simplifying 5(w + -2) + 7 = 4 + -3(1 + -1w) Reorder the terms: 5(-2 + w) + 7 = 4 + -3(1 + -1w) (-2 * 5 + w * 5) + 7 = 4 + -3(1 + -1w) (-10 + 5w) + 7 = 4 + -3(1 + -1w) Reorder the terms: -10 + 7 + 5w = 4 + -3(1 + -1w) Combine like terms: -10 + 7 = -3 -3 + 5w = 4 + -3(1 + -1w) -3 + 5w = 4 + (1 * -3 + -1w * -3) -3 + 5w = 4 + (-3 + 3w) Combine like terms: 4 + -3 = 1 -3 + 5w = 1 + 3w Solving -3 + 5w = 1 + 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. -3 + 5w + -3w = 1 + 3w + -3w Combine like terms: 5w + -3w = 2w -3 + 2w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 -3 + 2w = 1 + 0 -3 + 2w = 1 Add '3' to each side of the equation. -3 + 3 + 2w = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 1 + 3 2w = 1 + 3 Combine like terms: 1 + 3 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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