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Simplifying 4w + 12 = 6w + -26 Reorder the terms: 12 + 4w = 6w + -26 Reorder the terms: 12 + 4w = -26 + 6w Solving 12 + 4w = -26 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 12 + 4w + -6w = -26 + 6w + -6w Combine like terms: 4w + -6w = -2w 12 + -2w = -26 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -2w = -26 + 0 12 + -2w = -26 Add '-12' to each side of the equation. 12 + -12 + -2w = -26 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = -26 + -12 -2w = -26 + -12 Combine like terms: -26 + -12 = -38 -2w = -38 Divide each side by '-2'. w = 19 Simplifying w = 19
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