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Simplifying -4(2w + -3) + 5w = 1 + 3(5w + -1) Reorder the terms: -4(-3 + 2w) + 5w = 1 + 3(5w + -1) (-3 * -4 + 2w * -4) + 5w = 1 + 3(5w + -1) (12 + -8w) + 5w = 1 + 3(5w + -1) Combine like terms: -8w + 5w = -3w 12 + -3w = 1 + 3(5w + -1) Reorder the terms: 12 + -3w = 1 + 3(-1 + 5w) 12 + -3w = 1 + (-1 * 3 + 5w * 3) 12 + -3w = 1 + (-3 + 15w) Combine like terms: 1 + -3 = -2 12 + -3w = -2 + 15w Solving 12 + -3w = -2 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 12 + -3w + -15w = -2 + 15w + -15w Combine like terms: -3w + -15w = -18w 12 + -18w = -2 + 15w + -15w Combine like terms: 15w + -15w = 0 12 + -18w = -2 + 0 12 + -18w = -2 Add '-12' to each side of the equation. 12 + -12 + -18w = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -18w = -2 + -12 -18w = -2 + -12 Combine like terms: -2 + -12 = -14 -18w = -14 Divide each side by '-18'. w = 0.7777777778 Simplifying w = 0.7777777778
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