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Simplifying 3(4 + -1w) + 7 = -7(w + -2) + -9 (4 * 3 + -1w * 3) + 7 = -7(w + -2) + -9 (12 + -3w) + 7 = -7(w + -2) + -9 Reorder the terms: 12 + 7 + -3w = -7(w + -2) + -9 Combine like terms: 12 + 7 = 19 19 + -3w = -7(w + -2) + -9 Reorder the terms: 19 + -3w = -7(-2 + w) + -9 19 + -3w = (-2 * -7 + w * -7) + -9 19 + -3w = (14 + -7w) + -9 Reorder the terms: 19 + -3w = 14 + -9 + -7w Combine like terms: 14 + -9 = 5 19 + -3w = 5 + -7w Solving 19 + -3w = 5 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 19 + -3w + 7w = 5 + -7w + 7w Combine like terms: -3w + 7w = 4w 19 + 4w = 5 + -7w + 7w Combine like terms: -7w + 7w = 0 19 + 4w = 5 + 0 19 + 4w = 5 Add '-19' to each side of the equation. 19 + -19 + 4w = 5 + -19 Combine like terms: 19 + -19 = 0 0 + 4w = 5 + -19 4w = 5 + -19 Combine like terms: 5 + -19 = -14 4w = -14 Divide each side by '4'. w = -3.5 Simplifying w = -3.5
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