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Simplifying 3(w + -4) + -2(w + -2) = 8 Reorder the terms: 3(-4 + w) + -2(w + -2) = 8 (-4 * 3 + w * 3) + -2(w + -2) = 8 (-12 + 3w) + -2(w + -2) = 8 Reorder the terms: -12 + 3w + -2(-2 + w) = 8 -12 + 3w + (-2 * -2 + w * -2) = 8 -12 + 3w + (4 + -2w) = 8 Reorder the terms: -12 + 4 + 3w + -2w = 8 Combine like terms: -12 + 4 = -8 -8 + 3w + -2w = 8 Combine like terms: 3w + -2w = 1w -8 + 1w = 8 Solving -8 + 1w = 8 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 = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 1w = 8 + 8 1w = 8 + 8 Combine like terms: 8 + 8 = 16 1w = 16 Divide each side by '1'. w = 16 Simplifying w = 16
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