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Simplifying -2(w + 1) = 5w + -30 Reorder the terms: -2(1 + w) = 5w + -30 (1 * -2 + w * -2) = 5w + -30 (-2 + -2w) = 5w + -30 Reorder the terms: -2 + -2w = -30 + 5w Solving -2 + -2w = -30 + 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. -2 + -2w + -5w = -30 + 5w + -5w Combine like terms: -2w + -5w = -7w -2 + -7w = -30 + 5w + -5w Combine like terms: 5w + -5w = 0 -2 + -7w = -30 + 0 -2 + -7w = -30 Add '2' to each side of the equation. -2 + 2 + -7w = -30 + 2 Combine like terms: -2 + 2 = 0 0 + -7w = -30 + 2 -7w = -30 + 2 Combine like terms: -30 + 2 = -28 -7w = -28 Divide each side by '-7'. w = 4 Simplifying w = 4
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