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Simplifying -2(w + 1) = w + -9 + 4(3w + 1) Reorder the terms: -2(1 + w) = w + -9 + 4(3w + 1) (1 * -2 + w * -2) = w + -9 + 4(3w + 1) (-2 + -2w) = w + -9 + 4(3w + 1) Reorder the terms: -2 + -2w = w + -9 + 4(1 + 3w) -2 + -2w = w + -9 + (1 * 4 + 3w * 4) -2 + -2w = w + -9 + (4 + 12w) Reorder the terms: -2 + -2w = -9 + 4 + w + 12w Combine like terms: -9 + 4 = -5 -2 + -2w = -5 + w + 12w Combine like terms: w + 12w = 13w -2 + -2w = -5 + 13w Solving -2 + -2w = -5 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -2 + -2w + -13w = -5 + 13w + -13w Combine like terms: -2w + -13w = -15w -2 + -15w = -5 + 13w + -13w Combine like terms: 13w + -13w = 0 -2 + -15w = -5 + 0 -2 + -15w = -5 Add '2' to each side of the equation. -2 + 2 + -15w = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -15w = -5 + 2 -15w = -5 + 2 Combine like terms: -5 + 2 = -3 -15w = -3 Divide each side by '-15'. w = 0.2 Simplifying w = 0.2
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