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Simplifying 10(w + -2) = 3(w + 1) Reorder the terms: 10(-2 + w) = 3(w + 1) (-2 * 10 + w * 10) = 3(w + 1) (-20 + 10w) = 3(w + 1) Reorder the terms: -20 + 10w = 3(1 + w) -20 + 10w = (1 * 3 + w * 3) -20 + 10w = (3 + 3w) Solving -20 + 10w = 3 + 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. -20 + 10w + -3w = 3 + 3w + -3w Combine like terms: 10w + -3w = 7w -20 + 7w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 -20 + 7w = 3 + 0 -20 + 7w = 3 Add '20' to each side of the equation. -20 + 20 + 7w = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 7w = 3 + 20 7w = 3 + 20 Combine like terms: 3 + 20 = 23 7w = 23 Divide each side by '7'. w = 3.285714286 Simplifying w = 3.285714286
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