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Simplifying 3(w + 3) + -4(w + 4) = 0 Reorder the terms: 3(3 + w) + -4(w + 4) = 0 (3 * 3 + w * 3) + -4(w + 4) = 0 (9 + 3w) + -4(w + 4) = 0 Reorder the terms: 9 + 3w + -4(4 + w) = 0 9 + 3w + (4 * -4 + w * -4) = 0 9 + 3w + (-16 + -4w) = 0 Reorder the terms: 9 + -16 + 3w + -4w = 0 Combine like terms: 9 + -16 = -7 -7 + 3w + -4w = 0 Combine like terms: 3w + -4w = -1w -7 + -1w = 0 Solving -7 + -1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 0 + 7 -1w = 0 + 7 Combine like terms: 0 + 7 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7
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