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Simplifying 5(w + -5) + -1(2w + -1) = 6w Reorder the terms: 5(-5 + w) + -1(2w + -1) = 6w (-5 * 5 + w * 5) + -1(2w + -1) = 6w (-25 + 5w) + -1(2w + -1) = 6w Reorder the terms: -25 + 5w + -1(-1 + 2w) = 6w -25 + 5w + (-1 * -1 + 2w * -1) = 6w -25 + 5w + (1 + -2w) = 6w Reorder the terms: -25 + 1 + 5w + -2w = 6w Combine like terms: -25 + 1 = -24 -24 + 5w + -2w = 6w Combine like terms: 5w + -2w = 3w -24 + 3w = 6w Solving -24 + 3w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -24 + 3w + -6w = 6w + -6w Combine like terms: 3w + -6w = -3w -24 + -3w = 6w + -6w Combine like terms: 6w + -6w = 0 -24 + -3w = 0 Add '24' to each side of the equation. -24 + 24 + -3w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -3w = 0 + 24 -3w = 0 + 24 Combine like terms: 0 + 24 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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