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Simplifying 3(w + -10) + 2(w + -29) = 2 Reorder the terms: 3(-10 + w) + 2(w + -29) = 2 (-10 * 3 + w * 3) + 2(w + -29) = 2 (-30 + 3w) + 2(w + -29) = 2 Reorder the terms: -30 + 3w + 2(-29 + w) = 2 -30 + 3w + (-29 * 2 + w * 2) = 2 -30 + 3w + (-58 + 2w) = 2 Reorder the terms: -30 + -58 + 3w + 2w = 2 Combine like terms: -30 + -58 = -88 -88 + 3w + 2w = 2 Combine like terms: 3w + 2w = 5w -88 + 5w = 2 Solving -88 + 5w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + 5w = 2 + 88 Combine like terms: -88 + 88 = 0 0 + 5w = 2 + 88 5w = 2 + 88 Combine like terms: 2 + 88 = 90 5w = 90 Divide each side by '5'. w = 18 Simplifying w = 18
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