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Simplifying 5w + 10 = 7w + -12 Reorder the terms: 10 + 5w = 7w + -12 Reorder the terms: 10 + 5w = -12 + 7w Solving 10 + 5w = -12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 10 + 5w + -7w = -12 + 7w + -7w Combine like terms: 5w + -7w = -2w 10 + -2w = -12 + 7w + -7w Combine like terms: 7w + -7w = 0 10 + -2w = -12 + 0 10 + -2w = -12 Add '-10' to each side of the equation. 10 + -10 + -2w = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = -12 + -10 -2w = -12 + -10 Combine like terms: -12 + -10 = -22 -2w = -22 Divide each side by '-2'. w = 11 Simplifying w = 11
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