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Simplifying 10 + -1w = -7 + 3w + 5 Reorder the terms: 10 + -1w = -7 + 5 + 3w Combine like terms: -7 + 5 = -2 10 + -1w = -2 + 3w Solving 10 + -1w = -2 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 10 + -1w + -3w = -2 + 3w + -3w Combine like terms: -1w + -3w = -4w 10 + -4w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + -4w = -2 + 0 10 + -4w = -2 Add '-10' to each side of the equation. 10 + -10 + -4w = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4w = -2 + -10 -4w = -2 + -10 Combine like terms: -2 + -10 = -12 -4w = -12 Divide each side by '-4'. w = 3 Simplifying w = 3
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