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Simplifying 3(w + -2) = 6w + 2 + -3(-3w + -2) Reorder the terms: 3(-2 + w) = 6w + 2 + -3(-3w + -2) (-2 * 3 + w * 3) = 6w + 2 + -3(-3w + -2) (-6 + 3w) = 6w + 2 + -3(-3w + -2) Reorder the terms: -6 + 3w = 6w + 2 + -3(-2 + -3w) -6 + 3w = 6w + 2 + (-2 * -3 + -3w * -3) -6 + 3w = 6w + 2 + (6 + 9w) Reorder the terms: -6 + 3w = 2 + 6 + 6w + 9w Combine like terms: 2 + 6 = 8 -6 + 3w = 8 + 6w + 9w Combine like terms: 6w + 9w = 15w -6 + 3w = 8 + 15w Solving -6 + 3w = 8 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -6 + 3w + -15w = 8 + 15w + -15w Combine like terms: 3w + -15w = -12w -6 + -12w = 8 + 15w + -15w Combine like terms: 15w + -15w = 0 -6 + -12w = 8 + 0 -6 + -12w = 8 Add '6' to each side of the equation. -6 + 6 + -12w = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -12w = 8 + 6 -12w = 8 + 6 Combine like terms: 8 + 6 = 14 -12w = 14 Divide each side by '-12'. w = -1.166666667 Simplifying w = -1.166666667
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