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Simplifying 10 + -1(w + 3) + -4w + 5 = w + -12 Reorder the terms: 10 + -1(3 + w) + -4w + 5 = w + -12 10 + (3 * -1 + w * -1) + -4w + 5 = w + -12 10 + (-3 + -1w) + -4w + 5 = w + -12 Reorder the terms: 10 + -3 + 5 + -1w + -4w = w + -12 Combine like terms: 10 + -3 = 7 7 + 5 + -1w + -4w = w + -12 Combine like terms: 7 + 5 = 12 12 + -1w + -4w = w + -12 Combine like terms: -1w + -4w = -5w 12 + -5w = w + -12 Reorder the terms: 12 + -5w = -12 + w Solving 12 + -5w = -12 + 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. 12 + -5w + -1w = -12 + w + -1w Combine like terms: -5w + -1w = -6w 12 + -6w = -12 + w + -1w Combine like terms: w + -1w = 0 12 + -6w = -12 + 0 12 + -6w = -12 Add '-12' to each side of the equation. 12 + -12 + -6w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6w = -12 + -12 -6w = -12 + -12 Combine like terms: -12 + -12 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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