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Simplifying 45 = 3(w + -12) + 30 Reorder the terms: 45 = 3(-12 + w) + 30 45 = (-12 * 3 + w * 3) + 30 45 = (-36 + 3w) + 30 Reorder the terms: 45 = -36 + 30 + 3w Combine like terms: -36 + 30 = -6 45 = -6 + 3w Solving 45 = -6 + 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 = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 45 + -3w = -6 + 0 45 + -3w = -6 Add '-45' to each side of the equation. 45 + -45 + -3w = -6 + -45 Combine like terms: 45 + -45 = 0 0 + -3w = -6 + -45 -3w = -6 + -45 Combine like terms: -6 + -45 = -51 -3w = -51 Divide each side by '-3'. w = 17 Simplifying w = 17
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