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Simplifying 3(w + -7) = 2w + -9 Reorder the terms: 3(-7 + w) = 2w + -9 (-7 * 3 + w * 3) = 2w + -9 (-21 + 3w) = 2w + -9 Reorder the terms: -21 + 3w = -9 + 2w Solving -21 + 3w = -9 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -21 + 3w + -2w = -9 + 2w + -2w Combine like terms: 3w + -2w = 1w -21 + 1w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + 1w = -9 + 0 -21 + 1w = -9 Add '21' to each side of the equation. -21 + 21 + 1w = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 1w = -9 + 21 1w = -9 + 21 Combine like terms: -9 + 21 = 12 1w = 12 Divide each side by '1'. w = 12 Simplifying w = 12
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