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Simplifying 5x + 8 + -12w = 16 + -15w Reorder the terms: 8 + -12w + 5x = 16 + -15w Solving 8 + -12w + 5x = 16 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 8 + -12w + 15w + 5x = 16 + -15w + 15w Combine like terms: -12w + 15w = 3w 8 + 3w + 5x = 16 + -15w + 15w Combine like terms: -15w + 15w = 0 8 + 3w + 5x = 16 + 0 8 + 3w + 5x = 16 Add '-8' to each side of the equation. 8 + 3w + -8 + 5x = 16 + -8 Reorder the terms: 8 + -8 + 3w + 5x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 3w + 5x = 16 + -8 3w + 5x = 16 + -8 Combine like terms: 16 + -8 = 8 3w + 5x = 8 Add '-5x' to each side of the equation. 3w + 5x + -5x = 8 + -5x Combine like terms: 5x + -5x = 0 3w + 0 = 8 + -5x 3w = 8 + -5x Divide each side by '3'. w = 2.666666667 + -1.666666667x Simplifying w = 2.666666667 + -1.666666667x
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