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Simplifying 2w + -10 = -5(w + 9) Reorder the terms: -10 + 2w = -5(w + 9) Reorder the terms: -10 + 2w = -5(9 + w) -10 + 2w = (9 * -5 + w * -5) -10 + 2w = (-45 + -5w) Solving -10 + 2w = -45 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -10 + 2w + 5w = -45 + -5w + 5w Combine like terms: 2w + 5w = 7w -10 + 7w = -45 + -5w + 5w Combine like terms: -5w + 5w = 0 -10 + 7w = -45 + 0 -10 + 7w = -45 Add '10' to each side of the equation. -10 + 10 + 7w = -45 + 10 Combine like terms: -10 + 10 = 0 0 + 7w = -45 + 10 7w = -45 + 10 Combine like terms: -45 + 10 = -35 7w = -35 Divide each side by '7'. w = -5 Simplifying w = -5
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