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Simplifying 3(4w + 14) = 10w + -2(w + -7) Reorder the terms: 3(14 + 4w) = 10w + -2(w + -7) (14 * 3 + 4w * 3) = 10w + -2(w + -7) (42 + 12w) = 10w + -2(w + -7) Reorder the terms: 42 + 12w = 10w + -2(-7 + w) 42 + 12w = 10w + (-7 * -2 + w * -2) 42 + 12w = 10w + (14 + -2w) Reorder the terms: 42 + 12w = 14 + 10w + -2w Combine like terms: 10w + -2w = 8w 42 + 12w = 14 + 8w Solving 42 + 12w = 14 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 42 + 12w + -8w = 14 + 8w + -8w Combine like terms: 12w + -8w = 4w 42 + 4w = 14 + 8w + -8w Combine like terms: 8w + -8w = 0 42 + 4w = 14 + 0 42 + 4w = 14 Add '-42' to each side of the equation. 42 + -42 + 4w = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 4w = 14 + -42 4w = 14 + -42 Combine like terms: 14 + -42 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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