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Simplifying 45 = 2(w + -12) + 30 Reorder the terms: 45 = 2(-12 + w) + 30 45 = (-12 * 2 + w * 2) + 30 45 = (-24 + 2w) + 30 Reorder the terms: 45 = -24 + 30 + 2w Combine like terms: -24 + 30 = 6 45 = 6 + 2w Solving 45 = 6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 45 + -2w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 45 + -2w = 6 + 0 45 + -2w = 6 Add '-45' to each side of the equation. 45 + -45 + -2w = 6 + -45 Combine like terms: 45 + -45 = 0 0 + -2w = 6 + -45 -2w = 6 + -45 Combine like terms: 6 + -45 = -39 -2w = -39 Divide each side by '-2'. w = 19.5 Simplifying w = 19.5
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