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Simplifying 12 + 2w + 1 = w + 4(12) + -26 Reorder the terms: 12 + 1 + 2w = w + 4(12) + -26 Combine like terms: 12 + 1 = 13 13 + 2w = w + 4(12) + -26 Multiply 4 * 12 13 + 2w = w + 48 + -26 Reorder the terms: 13 + 2w = 48 + -26 + w Combine like terms: 48 + -26 = 22 13 + 2w = 22 + w Solving 13 + 2w = 22 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 13 + 2w + -1w = 22 + w + -1w Combine like terms: 2w + -1w = 1w 13 + 1w = 22 + w + -1w Combine like terms: w + -1w = 0 13 + 1w = 22 + 0 13 + 1w = 22 Add '-13' to each side of the equation. 13 + -13 + 1w = 22 + -13 Combine like terms: 13 + -13 = 0 0 + 1w = 22 + -13 1w = 22 + -13 Combine like terms: 22 + -13 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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