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Simplifying -3(-9w + 8) + -7w = 6(w + -2) + -5 Reorder the terms: -3(8 + -9w) + -7w = 6(w + -2) + -5 (8 * -3 + -9w * -3) + -7w = 6(w + -2) + -5 (-24 + 27w) + -7w = 6(w + -2) + -5 Combine like terms: 27w + -7w = 20w -24 + 20w = 6(w + -2) + -5 Reorder the terms: -24 + 20w = 6(-2 + w) + -5 -24 + 20w = (-2 * 6 + w * 6) + -5 -24 + 20w = (-12 + 6w) + -5 Reorder the terms: -24 + 20w = -12 + -5 + 6w Combine like terms: -12 + -5 = -17 -24 + 20w = -17 + 6w Solving -24 + 20w = -17 + 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 + 20w + -6w = -17 + 6w + -6w Combine like terms: 20w + -6w = 14w -24 + 14w = -17 + 6w + -6w Combine like terms: 6w + -6w = 0 -24 + 14w = -17 + 0 -24 + 14w = -17 Add '24' to each side of the equation. -24 + 24 + 14w = -17 + 24 Combine like terms: -24 + 24 = 0 0 + 14w = -17 + 24 14w = -17 + 24 Combine like terms: -17 + 24 = 7 14w = 7 Divide each side by '14'. w = 0.5 Simplifying w = 0.5
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