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Simplifying 10(w + 2) + -22 = 4w + 2(9 + -7w) Reorder the terms: 10(2 + w) + -22 = 4w + 2(9 + -7w) (2 * 10 + w * 10) + -22 = 4w + 2(9 + -7w) (20 + 10w) + -22 = 4w + 2(9 + -7w) Reorder the terms: 20 + -22 + 10w = 4w + 2(9 + -7w) Combine like terms: 20 + -22 = -2 -2 + 10w = 4w + 2(9 + -7w) -2 + 10w = 4w + (9 * 2 + -7w * 2) -2 + 10w = 4w + (18 + -14w) Reorder the terms: -2 + 10w = 18 + 4w + -14w Combine like terms: 4w + -14w = -10w -2 + 10w = 18 + -10w Solving -2 + 10w = 18 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. -2 + 10w + 10w = 18 + -10w + 10w Combine like terms: 10w + 10w = 20w -2 + 20w = 18 + -10w + 10w Combine like terms: -10w + 10w = 0 -2 + 20w = 18 + 0 -2 + 20w = 18 Add '2' to each side of the equation. -2 + 2 + 20w = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 20w = 18 + 2 20w = 18 + 2 Combine like terms: 18 + 2 = 20 20w = 20 Divide each side by '20'. w = 1 Simplifying w = 1
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