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Simplifying 3(w + 2) + -4(w + 4) = 0 Reorder the terms: 3(2 + w) + -4(w + 4) = 0 (2 * 3 + w * 3) + -4(w + 4) = 0 (6 + 3w) + -4(w + 4) = 0 Reorder the terms: 6 + 3w + -4(4 + w) = 0 6 + 3w + (4 * -4 + w * -4) = 0 6 + 3w + (-16 + -4w) = 0 Reorder the terms: 6 + -16 + 3w + -4w = 0 Combine like terms: 6 + -16 = -10 -10 + 3w + -4w = 0 Combine like terms: 3w + -4w = -1w -10 + -1w = 0 Solving -10 + -1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 0 + 10 -1w = 0 + 10 Combine like terms: 0 + 10 = 10 -1w = 10 Divide each side by '-1'. w = -10 Simplifying w = -10
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