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Simplifying 4w + 12 = 7w + -13 Reorder the terms: 12 + 4w = 7w + -13 Reorder the terms: 12 + 4w = -13 + 7w Solving 12 + 4w = -13 + 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. 12 + 4w + -7w = -13 + 7w + -7w Combine like terms: 4w + -7w = -3w 12 + -3w = -13 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + -3w = -13 + 0 12 + -3w = -13 Add '-12' to each side of the equation. 12 + -12 + -3w = -13 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = -13 + -12 -3w = -13 + -12 Combine like terms: -13 + -12 = -25 -3w = -25 Divide each side by '-3'. w = 8.333333333 Simplifying w = 8.333333333
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