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Simplifying 5w + 8 + -12w = 3w + -5 Reorder the terms: 8 + 5w + -12w = 3w + -5 Combine like terms: 5w + -12w = -7w 8 + -7w = 3w + -5 Reorder the terms: 8 + -7w = -5 + 3w Solving 8 + -7w = -5 + 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. 8 + -7w + -3w = -5 + 3w + -3w Combine like terms: -7w + -3w = -10w 8 + -10w = -5 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + -10w = -5 + 0 8 + -10w = -5 Add '-8' to each side of the equation. 8 + -8 + -10w = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -10w = -5 + -8 -10w = -5 + -8 Combine like terms: -5 + -8 = -13 -10w = -13 Divide each side by '-10'. w = 1.3 Simplifying w = 1.3
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