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Simplifying 5w + -45 = -3(w + 7) Reorder the terms: -45 + 5w = -3(w + 7) Reorder the terms: -45 + 5w = -3(7 + w) -45 + 5w = (7 * -3 + w * -3) -45 + 5w = (-21 + -3w) Solving -45 + 5w = -21 + -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. -45 + 5w + 3w = -21 + -3w + 3w Combine like terms: 5w + 3w = 8w -45 + 8w = -21 + -3w + 3w Combine like terms: -3w + 3w = 0 -45 + 8w = -21 + 0 -45 + 8w = -21 Add '45' to each side of the equation. -45 + 45 + 8w = -21 + 45 Combine like terms: -45 + 45 = 0 0 + 8w = -21 + 45 8w = -21 + 45 Combine like terms: -21 + 45 = 24 8w = 24 Divide each side by '8'. w = 3 Simplifying w = 3
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