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Simplifying -5(w + 3) + 3(w + 1) = 14 Reorder the terms: -5(3 + w) + 3(w + 1) = 14 (3 * -5 + w * -5) + 3(w + 1) = 14 (-15 + -5w) + 3(w + 1) = 14 Reorder the terms: -15 + -5w + 3(1 + w) = 14 -15 + -5w + (1 * 3 + w * 3) = 14 -15 + -5w + (3 + 3w) = 14 Reorder the terms: -15 + 3 + -5w + 3w = 14 Combine like terms: -15 + 3 = -12 -12 + -5w + 3w = 14 Combine like terms: -5w + 3w = -2w -12 + -2w = 14 Solving -12 + -2w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -2w = 14 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = 14 + 12 -2w = 14 + 12 Combine like terms: 14 + 12 = 26 -2w = 26 Divide each side by '-2'. w = -13 Simplifying w = -13
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