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Simplifying 3(w + -5) = 2(w + -3) Reorder the terms: 3(-5 + w) = 2(w + -3) (-5 * 3 + w * 3) = 2(w + -3) (-15 + 3w) = 2(w + -3) Reorder the terms: -15 + 3w = 2(-3 + w) -15 + 3w = (-3 * 2 + w * 2) -15 + 3w = (-6 + 2w) Solving -15 + 3w = -6 + 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. -15 + 3w + -2w = -6 + 2w + -2w Combine like terms: 3w + -2w = 1w -15 + 1w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 1w = -6 + 0 -15 + 1w = -6 Add '15' to each side of the equation. -15 + 15 + 1w = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 1w = -6 + 15 1w = -6 + 15 Combine like terms: -6 + 15 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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