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Simplifying 15w + -13 = 12w + -6 Reorder the terms: -13 + 15w = 12w + -6 Reorder the terms: -13 + 15w = -6 + 12w Solving -13 + 15w = -6 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -13 + 15w + -12w = -6 + 12w + -12w Combine like terms: 15w + -12w = 3w -13 + 3w = -6 + 12w + -12w Combine like terms: 12w + -12w = 0 -13 + 3w = -6 + 0 -13 + 3w = -6 Add '13' to each side of the equation. -13 + 13 + 3w = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 3w = -6 + 13 3w = -6 + 13 Combine like terms: -6 + 13 = 7 3w = 7 Divide each side by '3'. w = 2.333333333 Simplifying w = 2.333333333
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