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Simplifying 3(w + -9) = 7w + -15 Reorder the terms: 3(-9 + w) = 7w + -15 (-9 * 3 + w * 3) = 7w + -15 (-27 + 3w) = 7w + -15 Reorder the terms: -27 + 3w = -15 + 7w Solving -27 + 3w = -15 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -27 + 3w + -7w = -15 + 7w + -7w Combine like terms: 3w + -7w = -4w -27 + -4w = -15 + 7w + -7w Combine like terms: 7w + -7w = 0 -27 + -4w = -15 + 0 -27 + -4w = -15 Add '27' to each side of the equation. -27 + 27 + -4w = -15 + 27 Combine like terms: -27 + 27 = 0 0 + -4w = -15 + 27 -4w = -15 + 27 Combine like terms: -15 + 27 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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