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Simplifying 3(w + -12) + 30 = 45 Reorder the terms: 3(-12 + w) + 30 = 45 (-12 * 3 + w * 3) + 30 = 45 (-36 + 3w) + 30 = 45 Reorder the terms: -36 + 30 + 3w = 45 Combine like terms: -36 + 30 = -6 -6 + 3w = 45 Solving -6 + 3w = 45 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3w = 45 + 6 Combine like terms: -6 + 6 = 0 0 + 3w = 45 + 6 3w = 45 + 6 Combine like terms: 45 + 6 = 51 3w = 51 Divide each side by '3'. w = 17 Simplifying w = 17
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