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Simplifying -3(w + 2) = 4w + -8 + 2(4w + 7) Reorder the terms: -3(2 + w) = 4w + -8 + 2(4w + 7) (2 * -3 + w * -3) = 4w + -8 + 2(4w + 7) (-6 + -3w) = 4w + -8 + 2(4w + 7) Reorder the terms: -6 + -3w = 4w + -8 + 2(7 + 4w) -6 + -3w = 4w + -8 + (7 * 2 + 4w * 2) -6 + -3w = 4w + -8 + (14 + 8w) Reorder the terms: -6 + -3w = -8 + 14 + 4w + 8w Combine like terms: -8 + 14 = 6 -6 + -3w = 6 + 4w + 8w Combine like terms: 4w + 8w = 12w -6 + -3w = 6 + 12w Solving -6 + -3w = 6 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -6 + -3w + -12w = 6 + 12w + -12w Combine like terms: -3w + -12w = -15w -6 + -15w = 6 + 12w + -12w Combine like terms: 12w + -12w = 0 -6 + -15w = 6 + 0 -6 + -15w = 6 Add '6' to each side of the equation. -6 + 6 + -15w = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -15w = 6 + 6 -15w = 6 + 6 Combine like terms: 6 + 6 = 12 -15w = 12 Divide each side by '-15'. w = -0.8 Simplifying w = -0.8
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