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Simplifying -2(w + 4) = w + -5 + 3(4w + 1) Reorder the terms: -2(4 + w) = w + -5 + 3(4w + 1) (4 * -2 + w * -2) = w + -5 + 3(4w + 1) (-8 + -2w) = w + -5 + 3(4w + 1) Reorder the terms: -8 + -2w = w + -5 + 3(1 + 4w) -8 + -2w = w + -5 + (1 * 3 + 4w * 3) -8 + -2w = w + -5 + (3 + 12w) Reorder the terms: -8 + -2w = -5 + 3 + w + 12w Combine like terms: -5 + 3 = -2 -8 + -2w = -2 + w + 12w Combine like terms: w + 12w = 13w -8 + -2w = -2 + 13w Solving -8 + -2w = -2 + 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. -8 + -2w + -13w = -2 + 13w + -13w Combine like terms: -2w + -13w = -15w -8 + -15w = -2 + 13w + -13w Combine like terms: 13w + -13w = 0 -8 + -15w = -2 + 0 -8 + -15w = -2 Add '8' to each side of the equation. -8 + 8 + -15w = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -15w = -2 + 8 -15w = -2 + 8 Combine like terms: -2 + 8 = 6 -15w = 6 Divide each side by '-15'. w = -0.4 Simplifying w = -0.4
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