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Simplifying 5w + 8 + -12w = 16 + -15 Reorder the terms: 8 + 5w + -12w = 16 + -15 Combine like terms: 5w + -12w = -7w 8 + -7w = 16 + -15 Combine like terms: 16 + -15 = 1 8 + -7w = 1 Solving 8 + -7w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7w = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -7w = 1 + -8 -7w = 1 + -8 Combine like terms: 1 + -8 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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