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Simplifying 3(w + -5) + -6w = 12 Reorder the terms: 3(-5 + w) + -6w = 12 (-5 * 3 + w * 3) + -6w = 12 (-15 + 3w) + -6w = 12 Combine like terms: 3w + -6w = -3w -15 + -3w = 12 Solving -15 + -3w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -3w = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -3w = 12 + 15 -3w = 12 + 15 Combine like terms: 12 + 15 = 27 -3w = 27 Divide each side by '-3'. w = -9 Simplifying w = -9
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