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Simplifying 2(w + 2) + -3(w + 4) = 0 Reorder the terms: 2(2 + w) + -3(w + 4) = 0 (2 * 2 + w * 2) + -3(w + 4) = 0 (4 + 2w) + -3(w + 4) = 0 Reorder the terms: 4 + 2w + -3(4 + w) = 0 4 + 2w + (4 * -3 + w * -3) = 0 4 + 2w + (-12 + -3w) = 0 Reorder the terms: 4 + -12 + 2w + -3w = 0 Combine like terms: 4 + -12 = -8 -8 + 2w + -3w = 0 Combine like terms: 2w + -3w = -1w -8 + -1w = 0 Solving -8 + -1w = 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 + -1w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = 0 + 8 -1w = 0 + 8 Combine like terms: 0 + 8 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8
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