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Simplifying 3(w + 4) = -4w + -37 Reorder the terms: 3(4 + w) = -4w + -37 (4 * 3 + w * 3) = -4w + -37 (12 + 3w) = -4w + -37 Reorder the terms: 12 + 3w = -37 + -4w Solving 12 + 3w = -37 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 12 + 3w + 4w = -37 + -4w + 4w Combine like terms: 3w + 4w = 7w 12 + 7w = -37 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 7w = -37 + 0 12 + 7w = -37 Add '-12' to each side of the equation. 12 + -12 + 7w = -37 + -12 Combine like terms: 12 + -12 = 0 0 + 7w = -37 + -12 7w = -37 + -12 Combine like terms: -37 + -12 = -49 7w = -49 Divide each side by '7'. w = -7 Simplifying w = -7
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