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Simplifying -2(6w + -2) + 9w = 3 + 2(6w + -2) Reorder the terms: -2(-2 + 6w) + 9w = 3 + 2(6w + -2) (-2 * -2 + 6w * -2) + 9w = 3 + 2(6w + -2) (4 + -12w) + 9w = 3 + 2(6w + -2) Combine like terms: -12w + 9w = -3w 4 + -3w = 3 + 2(6w + -2) Reorder the terms: 4 + -3w = 3 + 2(-2 + 6w) 4 + -3w = 3 + (-2 * 2 + 6w * 2) 4 + -3w = 3 + (-4 + 12w) Combine like terms: 3 + -4 = -1 4 + -3w = -1 + 12w Solving 4 + -3w = -1 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 4 + -3w + -12w = -1 + 12w + -12w Combine like terms: -3w + -12w = -15w 4 + -15w = -1 + 12w + -12w Combine like terms: 12w + -12w = 0 4 + -15w = -1 + 0 4 + -15w = -1 Add '-4' to each side of the equation. 4 + -4 + -15w = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -15w = -1 + -4 -15w = -1 + -4 Combine like terms: -1 + -4 = -5 -15w = -5 Divide each side by '-15'. w = 0.3333333333 Simplifying w = 0.3333333333
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