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Simplifying -3(-8w + 5) + -4w = 2(w + -2) + -7 Reorder the terms: -3(5 + -8w) + -4w = 2(w + -2) + -7 (5 * -3 + -8w * -3) + -4w = 2(w + -2) + -7 (-15 + 24w) + -4w = 2(w + -2) + -7 Combine like terms: 24w + -4w = 20w -15 + 20w = 2(w + -2) + -7 Reorder the terms: -15 + 20w = 2(-2 + w) + -7 -15 + 20w = (-2 * 2 + w * 2) + -7 -15 + 20w = (-4 + 2w) + -7 Reorder the terms: -15 + 20w = -4 + -7 + 2w Combine like terms: -4 + -7 = -11 -15 + 20w = -11 + 2w Solving -15 + 20w = -11 + 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. -15 + 20w + -2w = -11 + 2w + -2w Combine like terms: 20w + -2w = 18w -15 + 18w = -11 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 18w = -11 + 0 -15 + 18w = -11 Add '15' to each side of the equation. -15 + 15 + 18w = -11 + 15 Combine like terms: -15 + 15 = 0 0 + 18w = -11 + 15 18w = -11 + 15 Combine like terms: -11 + 15 = 4 18w = 4 Divide each side by '18'. w = 0.2222222222 Simplifying w = 0.2222222222
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