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Simplifying 3(4w + -5) = 7(9 + -3w) Reorder the terms: 3(-5 + 4w) = 7(9 + -3w) (-5 * 3 + 4w * 3) = 7(9 + -3w) (-15 + 12w) = 7(9 + -3w) -15 + 12w = (9 * 7 + -3w * 7) -15 + 12w = (63 + -21w) Solving -15 + 12w = 63 + -21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21w' to each side of the equation. -15 + 12w + 21w = 63 + -21w + 21w Combine like terms: 12w + 21w = 33w -15 + 33w = 63 + -21w + 21w Combine like terms: -21w + 21w = 0 -15 + 33w = 63 + 0 -15 + 33w = 63 Add '15' to each side of the equation. -15 + 15 + 33w = 63 + 15 Combine like terms: -15 + 15 = 0 0 + 33w = 63 + 15 33w = 63 + 15 Combine like terms: 63 + 15 = 78 33w = 78 Divide each side by '33'. w = 2.363636364 Simplifying w = 2.363636364
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