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Simplifying 10w + -3 + -2w = -5(-2w + -1) Reorder the terms: -3 + 10w + -2w = -5(-2w + -1) Combine like terms: 10w + -2w = 8w -3 + 8w = -5(-2w + -1) Reorder the terms: -3 + 8w = -5(-1 + -2w) -3 + 8w = (-1 * -5 + -2w * -5) -3 + 8w = (5 + 10w) Solving -3 + 8w = 5 + 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. -3 + 8w + -10w = 5 + 10w + -10w Combine like terms: 8w + -10w = -2w -3 + -2w = 5 + 10w + -10w Combine like terms: 10w + -10w = 0 -3 + -2w = 5 + 0 -3 + -2w = 5 Add '3' to each side of the equation. -3 + 3 + -2w = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = 5 + 3 -2w = 5 + 3 Combine like terms: 5 + 3 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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