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Simplifying 4 + -2(3 + -2w) = 3(w + 1) + -10 4 + (3 * -2 + -2w * -2) = 3(w + 1) + -10 4 + (-6 + 4w) = 3(w + 1) + -10 Combine like terms: 4 + -6 = -2 -2 + 4w = 3(w + 1) + -10 Reorder the terms: -2 + 4w = 3(1 + w) + -10 -2 + 4w = (1 * 3 + w * 3) + -10 -2 + 4w = (3 + 3w) + -10 Reorder the terms: -2 + 4w = 3 + -10 + 3w Combine like terms: 3 + -10 = -7 -2 + 4w = -7 + 3w Solving -2 + 4w = -7 + 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. -2 + 4w + -3w = -7 + 3w + -3w Combine like terms: 4w + -3w = 1w -2 + 1w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + 1w = -7 + 0 -2 + 1w = -7 Add '2' to each side of the equation. -2 + 2 + 1w = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 1w = -7 + 2 1w = -7 + 2 Combine like terms: -7 + 2 = -5 1w = -5 Divide each side by '1'. w = -5 Simplifying w = -5
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