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Simplifying -3(w + 4) + -2w = 2(w + 1) Reorder the terms: -3(4 + w) + -2w = 2(w + 1) (4 * -3 + w * -3) + -2w = 2(w + 1) (-12 + -3w) + -2w = 2(w + 1) Combine like terms: -3w + -2w = -5w -12 + -5w = 2(w + 1) Reorder the terms: -12 + -5w = 2(1 + w) -12 + -5w = (1 * 2 + w * 2) -12 + -5w = (2 + 2w) Solving -12 + -5w = 2 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -12 + -5w + -2w = 2 + 2w + -2w Combine like terms: -5w + -2w = -7w -12 + -7w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -7w = 2 + 0 -12 + -7w = 2 Add '12' to each side of the equation. -12 + 12 + -7w = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -7w = 2 + 12 -7w = 2 + 12 Combine like terms: 2 + 12 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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