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Simplifying 2w + 10 = 6w + 56 Reorder the terms: 10 + 2w = 6w + 56 Reorder the terms: 10 + 2w = 56 + 6w Solving 10 + 2w = 56 + 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. 10 + 2w + -6w = 56 + 6w + -6w Combine like terms: 2w + -6w = -4w 10 + -4w = 56 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + -4w = 56 + 0 10 + -4w = 56 Add '-10' to each side of the equation. 10 + -10 + -4w = 56 + -10 Combine like terms: 10 + -10 = 0 0 + -4w = 56 + -10 -4w = 56 + -10 Combine like terms: 56 + -10 = 46 -4w = 46 Divide each side by '-4'. w = -11.5 Simplifying w = -11.5
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