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Simplifying 3(w + -1) + -5(w + 1) = 0 Reorder the terms: 3(-1 + w) + -5(w + 1) = 0 (-1 * 3 + w * 3) + -5(w + 1) = 0 (-3 + 3w) + -5(w + 1) = 0 Reorder the terms: -3 + 3w + -5(1 + w) = 0 -3 + 3w + (1 * -5 + w * -5) = 0 -3 + 3w + (-5 + -5w) = 0 Reorder the terms: -3 + -5 + 3w + -5w = 0 Combine like terms: -3 + -5 = -8 -8 + 3w + -5w = 0 Combine like terms: 3w + -5w = -2w -8 + -2w = 0 Solving -8 + -2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2w = 0 + 8 -2w = 0 + 8 Combine like terms: 0 + 8 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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