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Simplifying 22 + -1(w + -3) = -2(3w + 5) Reorder the terms: 22 + -1(-3 + w) = -2(3w + 5) 22 + (-3 * -1 + w * -1) = -2(3w + 5) 22 + (3 + -1w) = -2(3w + 5) Combine like terms: 22 + 3 = 25 25 + -1w = -2(3w + 5) Reorder the terms: 25 + -1w = -2(5 + 3w) 25 + -1w = (5 * -2 + 3w * -2) 25 + -1w = (-10 + -6w) Solving 25 + -1w = -10 + -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. 25 + -1w + 6w = -10 + -6w + 6w Combine like terms: -1w + 6w = 5w 25 + 5w = -10 + -6w + 6w Combine like terms: -6w + 6w = 0 25 + 5w = -10 + 0 25 + 5w = -10 Add '-25' to each side of the equation. 25 + -25 + 5w = -10 + -25 Combine like terms: 25 + -25 = 0 0 + 5w = -10 + -25 5w = -10 + -25 Combine like terms: -10 + -25 = -35 5w = -35 Divide each side by '5'. w = -7 Simplifying w = -7
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