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Simplifying 45 = 3(w + -12) + 13 Reorder the terms: 45 = 3(-12 + w) + 13 45 = (-12 * 3 + w * 3) + 13 45 = (-36 + 3w) + 13 Reorder the terms: 45 = -36 + 13 + 3w Combine like terms: -36 + 13 = -23 45 = -23 + 3w Solving 45 = -23 + 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. 45 + -3w = -23 + 3w + -3w Combine like terms: 3w + -3w = 0 45 + -3w = -23 + 0 45 + -3w = -23 Add '-45' to each side of the equation. 45 + -45 + -3w = -23 + -45 Combine like terms: 45 + -45 = 0 0 + -3w = -23 + -45 -3w = -23 + -45 Combine like terms: -23 + -45 = -68 -3w = -68 Divide each side by '-3'. w = 22.66666667 Simplifying w = 22.66666667
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