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Simplifying -7w + -35 = 3(w + 5) Reorder the terms: -35 + -7w = 3(w + 5) Reorder the terms: -35 + -7w = 3(5 + w) -35 + -7w = (5 * 3 + w * 3) -35 + -7w = (15 + 3w) Solving -35 + -7w = 15 + 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. -35 + -7w + -3w = 15 + 3w + -3w Combine like terms: -7w + -3w = -10w -35 + -10w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 -35 + -10w = 15 + 0 -35 + -10w = 15 Add '35' to each side of the equation. -35 + 35 + -10w = 15 + 35 Combine like terms: -35 + 35 = 0 0 + -10w = 15 + 35 -10w = 15 + 35 Combine like terms: 15 + 35 = 50 -10w = 50 Divide each side by '-10'. w = -5 Simplifying w = -5
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