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Simplifying (w + -1) = 5(2w + 3) Reorder the terms: (-1 + w) = 5(2w + 3) Remove parenthesis around (-1 + w) -1 + w = 5(2w + 3) Reorder the terms: -1 + w = 5(3 + 2w) -1 + w = (3 * 5 + 2w * 5) -1 + w = (15 + 10w) Solving -1 + w = 15 + 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. -1 + w + -10w = 15 + 10w + -10w Combine like terms: w + -10w = -9w -1 + -9w = 15 + 10w + -10w Combine like terms: 10w + -10w = 0 -1 + -9w = 15 + 0 -1 + -9w = 15 Add '1' to each side of the equation. -1 + 1 + -9w = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -9w = 15 + 1 -9w = 15 + 1 Combine like terms: 15 + 1 = 16 -9w = 16 Divide each side by '-9'. w = -1.777777778 Simplifying w = -1.777777778
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