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Simplifying -5(-2w + 5) + -8w = 6(w + -2) + -3 Reorder the terms: -5(5 + -2w) + -8w = 6(w + -2) + -3 (5 * -5 + -2w * -5) + -8w = 6(w + -2) + -3 (-25 + 10w) + -8w = 6(w + -2) + -3 Combine like terms: 10w + -8w = 2w -25 + 2w = 6(w + -2) + -3 Reorder the terms: -25 + 2w = 6(-2 + w) + -3 -25 + 2w = (-2 * 6 + w * 6) + -3 -25 + 2w = (-12 + 6w) + -3 Reorder the terms: -25 + 2w = -12 + -3 + 6w Combine like terms: -12 + -3 = -15 -25 + 2w = -15 + 6w Solving -25 + 2w = -15 + 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. -25 + 2w + -6w = -15 + 6w + -6w Combine like terms: 2w + -6w = -4w -25 + -4w = -15 + 6w + -6w Combine like terms: 6w + -6w = 0 -25 + -4w = -15 + 0 -25 + -4w = -15 Add '25' to each side of the equation. -25 + 25 + -4w = -15 + 25 Combine like terms: -25 + 25 = 0 0 + -4w = -15 + 25 -4w = -15 + 25 Combine like terms: -15 + 25 = 10 -4w = 10 Divide each side by '-4'. w = -2.5 Simplifying w = -2.5
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