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Simplifying -2(-9w + 5) + -6w = 2(w + -1) + -3 Reorder the terms: -2(5 + -9w) + -6w = 2(w + -1) + -3 (5 * -2 + -9w * -2) + -6w = 2(w + -1) + -3 (-10 + 18w) + -6w = 2(w + -1) + -3 Combine like terms: 18w + -6w = 12w -10 + 12w = 2(w + -1) + -3 Reorder the terms: -10 + 12w = 2(-1 + w) + -3 -10 + 12w = (-1 * 2 + w * 2) + -3 -10 + 12w = (-2 + 2w) + -3 Reorder the terms: -10 + 12w = -2 + -3 + 2w Combine like terms: -2 + -3 = -5 -10 + 12w = -5 + 2w Solving -10 + 12w = -5 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -10 + 12w + -2w = -5 + 2w + -2w Combine like terms: 12w + -2w = 10w -10 + 10w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 -10 + 10w = -5 + 0 -10 + 10w = -5 Add '10' to each side of the equation. -10 + 10 + 10w = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 10w = -5 + 10 10w = -5 + 10 Combine like terms: -5 + 10 = 5 10w = 5 Divide each side by '10'. w = 0.5 Simplifying w = 0.5
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