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Simplifying 5 + 2(w + -4) = w + 10 Reorder the terms: 5 + 2(-4 + w) = w + 10 5 + (-4 * 2 + w * 2) = w + 10 5 + (-8 + 2w) = w + 10 Combine like terms: 5 + -8 = -3 -3 + 2w = w + 10 Reorder the terms: -3 + 2w = 10 + w Solving -3 + 2w = 10 + 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. -3 + 2w + -1w = 10 + w + -1w Combine like terms: 2w + -1w = 1w -3 + 1w = 10 + w + -1w Combine like terms: w + -1w = 0 -3 + 1w = 10 + 0 -3 + 1w = 10 Add '3' to each side of the equation. -3 + 3 + 1w = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = 10 + 3 1w = 10 + 3 Combine like terms: 10 + 3 = 13 1w = 13 Divide each side by '1'. w = 13 Simplifying w = 13
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