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Simplifying -3(-6w + 7) + -3w = 3(w + -9) + -2 Reorder the terms: -3(7 + -6w) + -3w = 3(w + -9) + -2 (7 * -3 + -6w * -3) + -3w = 3(w + -9) + -2 (-21 + 18w) + -3w = 3(w + -9) + -2 Combine like terms: 18w + -3w = 15w -21 + 15w = 3(w + -9) + -2 Reorder the terms: -21 + 15w = 3(-9 + w) + -2 -21 + 15w = (-9 * 3 + w * 3) + -2 -21 + 15w = (-27 + 3w) + -2 Reorder the terms: -21 + 15w = -27 + -2 + 3w Combine like terms: -27 + -2 = -29 -21 + 15w = -29 + 3w Solving -21 + 15w = -29 + 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. -21 + 15w + -3w = -29 + 3w + -3w Combine like terms: 15w + -3w = 12w -21 + 12w = -29 + 3w + -3w Combine like terms: 3w + -3w = 0 -21 + 12w = -29 + 0 -21 + 12w = -29 Add '21' to each side of the equation. -21 + 21 + 12w = -29 + 21 Combine like terms: -21 + 21 = 0 0 + 12w = -29 + 21 12w = -29 + 21 Combine like terms: -29 + 21 = -8 12w = -8 Divide each side by '12'. w = -0.6666666667 Simplifying w = -0.6666666667
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