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Simplifying -4w + 40 = 3(w + -3) Reorder the terms: 40 + -4w = 3(w + -3) Reorder the terms: 40 + -4w = 3(-3 + w) 40 + -4w = (-3 * 3 + w * 3) 40 + -4w = (-9 + 3w) Solving 40 + -4w = -9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 40 + -4w + -3w = -9 + 3w + -3w Combine like terms: -4w + -3w = -7w 40 + -7w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 40 + -7w = -9 + 0 40 + -7w = -9 Add '-40' to each side of the equation. 40 + -40 + -7w = -9 + -40 Combine like terms: 40 + -40 = 0 0 + -7w = -9 + -40 -7w = -9 + -40 Combine like terms: -9 + -40 = -49 -7w = -49 Divide each side by '-7'. w = 7 Simplifying w = 7
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