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Simplifying 6(w + 5) + -12 = 3(3w + -1) + 4w Reorder the terms: 6(5 + w) + -12 = 3(3w + -1) + 4w (5 * 6 + w * 6) + -12 = 3(3w + -1) + 4w (30 + 6w) + -12 = 3(3w + -1) + 4w Reorder the terms: 30 + -12 + 6w = 3(3w + -1) + 4w Combine like terms: 30 + -12 = 18 18 + 6w = 3(3w + -1) + 4w Reorder the terms: 18 + 6w = 3(-1 + 3w) + 4w 18 + 6w = (-1 * 3 + 3w * 3) + 4w 18 + 6w = (-3 + 9w) + 4w Combine like terms: 9w + 4w = 13w 18 + 6w = -3 + 13w Solving 18 + 6w = -3 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 18 + 6w + -13w = -3 + 13w + -13w Combine like terms: 6w + -13w = -7w 18 + -7w = -3 + 13w + -13w Combine like terms: 13w + -13w = 0 18 + -7w = -3 + 0 18 + -7w = -3 Add '-18' to each side of the equation. 18 + -18 + -7w = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -7w = -3 + -18 -7w = -3 + -18 Combine like terms: -3 + -18 = -21 -7w = -21 Divide each side by '-7'. w = 3 Simplifying w = 3
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