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Simplifying 5w + -7 = 5(2w + 2) Reorder the terms: -7 + 5w = 5(2w + 2) Reorder the terms: -7 + 5w = 5(2 + 2w) -7 + 5w = (2 * 5 + 2w * 5) -7 + 5w = (10 + 10w) Solving -7 + 5w = 10 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -7 + 5w + -10w = 10 + 10w + -10w Combine like terms: 5w + -10w = -5w -7 + -5w = 10 + 10w + -10w Combine like terms: 10w + -10w = 0 -7 + -5w = 10 + 0 -7 + -5w = 10 Add '7' to each side of the equation. -7 + 7 + -5w = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -5w = 10 + 7 -5w = 10 + 7 Combine like terms: 10 + 7 = 17 -5w = 17 Divide each side by '-5'. w = -3.4 Simplifying w = -3.4
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