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Simplifying -6(-3w + 7) + -3w = 3(w + -9) + -7 Reorder the terms: -6(7 + -3w) + -3w = 3(w + -9) + -7 (7 * -6 + -3w * -6) + -3w = 3(w + -9) + -7 (-42 + 18w) + -3w = 3(w + -9) + -7 Combine like terms: 18w + -3w = 15w -42 + 15w = 3(w + -9) + -7 Reorder the terms: -42 + 15w = 3(-9 + w) + -7 -42 + 15w = (-9 * 3 + w * 3) + -7 -42 + 15w = (-27 + 3w) + -7 Reorder the terms: -42 + 15w = -27 + -7 + 3w Combine like terms: -27 + -7 = -34 -42 + 15w = -34 + 3w Solving -42 + 15w = -34 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -42 + 15w + -3w = -34 + 3w + -3w Combine like terms: 15w + -3w = 12w -42 + 12w = -34 + 3w + -3w Combine like terms: 3w + -3w = 0 -42 + 12w = -34 + 0 -42 + 12w = -34 Add '42' to each side of the equation. -42 + 42 + 12w = -34 + 42 Combine like terms: -42 + 42 = 0 0 + 12w = -34 + 42 12w = -34 + 42 Combine like terms: -34 + 42 = 8 12w = 8 Divide each side by '12'. w = 0.6666666667 Simplifying w = 0.6666666667
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