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Simplifying 12 + -3(w + 1) = 7w + -3(7 + w) Reorder the terms: 12 + -3(1 + w) = 7w + -3(7 + w) 12 + (1 * -3 + w * -3) = 7w + -3(7 + w) 12 + (-3 + -3w) = 7w + -3(7 + w) Combine like terms: 12 + -3 = 9 9 + -3w = 7w + -3(7 + w) 9 + -3w = 7w + (7 * -3 + w * -3) 9 + -3w = 7w + (-21 + -3w) Reorder the terms: 9 + -3w = -21 + 7w + -3w Combine like terms: 7w + -3w = 4w 9 + -3w = -21 + 4w Solving 9 + -3w = -21 + 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. 9 + -3w + -4w = -21 + 4w + -4w Combine like terms: -3w + -4w = -7w 9 + -7w = -21 + 4w + -4w Combine like terms: 4w + -4w = 0 9 + -7w = -21 + 0 9 + -7w = -21 Add '-9' to each side of the equation. 9 + -9 + -7w = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = -21 + -9 -7w = -21 + -9 Combine like terms: -21 + -9 = -30 -7w = -30 Divide each side by '-7'. w = 4.285714286 Simplifying w = 4.285714286
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