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Simplifying 1 + -1(2w + 2) + -10w = 5(-2w + 5) Reorder the terms: 1 + -1(2 + 2w) + -10w = 5(-2w + 5) 1 + (2 * -1 + 2w * -1) + -10w = 5(-2w + 5) 1 + (-2 + -2w) + -10w = 5(-2w + 5) Combine like terms: 1 + -2 = -1 -1 + -2w + -10w = 5(-2w + 5) Combine like terms: -2w + -10w = -12w -1 + -12w = 5(-2w + 5) Reorder the terms: -1 + -12w = 5(5 + -2w) -1 + -12w = (5 * 5 + -2w * 5) -1 + -12w = (25 + -10w) Solving -1 + -12w = 25 + -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 + -12w + 10w = 25 + -10w + 10w Combine like terms: -12w + 10w = -2w -1 + -2w = 25 + -10w + 10w Combine like terms: -10w + 10w = 0 -1 + -2w = 25 + 0 -1 + -2w = 25 Add '1' to each side of the equation. -1 + 1 + -2w = 25 + 1 Combine like terms: -1 + 1 = 0 0 + -2w = 25 + 1 -2w = 25 + 1 Combine like terms: 25 + 1 = 26 -2w = 26 Divide each side by '-2'. w = -13 Simplifying w = -13
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