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Simplifying 9w + -2 = 12(2w + -4) Reorder the terms: -2 + 9w = 12(2w + -4) Reorder the terms: -2 + 9w = 12(-4 + 2w) -2 + 9w = (-4 * 12 + 2w * 12) -2 + 9w = (-48 + 24w) Solving -2 + 9w = -48 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. -2 + 9w + -24w = -48 + 24w + -24w Combine like terms: 9w + -24w = -15w -2 + -15w = -48 + 24w + -24w Combine like terms: 24w + -24w = 0 -2 + -15w = -48 + 0 -2 + -15w = -48 Add '2' to each side of the equation. -2 + 2 + -15w = -48 + 2 Combine like terms: -2 + 2 = 0 0 + -15w = -48 + 2 -15w = -48 + 2 Combine like terms: -48 + 2 = -46 -15w = -46 Divide each side by '-15'. w = 3.066666667 Simplifying w = 3.066666667
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