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Simplifying 2(w + -6) + -5 = -3(-5w + 5) + -1w Reorder the terms: 2(-6 + w) + -5 = -3(-5w + 5) + -1w (-6 * 2 + w * 2) + -5 = -3(-5w + 5) + -1w (-12 + 2w) + -5 = -3(-5w + 5) + -1w Reorder the terms: -12 + -5 + 2w = -3(-5w + 5) + -1w Combine like terms: -12 + -5 = -17 -17 + 2w = -3(-5w + 5) + -1w Reorder the terms: -17 + 2w = -3(5 + -5w) + -1w -17 + 2w = (5 * -3 + -5w * -3) + -1w -17 + 2w = (-15 + 15w) + -1w Combine like terms: 15w + -1w = 14w -17 + 2w = -15 + 14w Solving -17 + 2w = -15 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -17 + 2w + -14w = -15 + 14w + -14w Combine like terms: 2w + -14w = -12w -17 + -12w = -15 + 14w + -14w Combine like terms: 14w + -14w = 0 -17 + -12w = -15 + 0 -17 + -12w = -15 Add '17' to each side of the equation. -17 + 17 + -12w = -15 + 17 Combine like terms: -17 + 17 = 0 0 + -12w = -15 + 17 -12w = -15 + 17 Combine like terms: -15 + 17 = 2 -12w = 2 Divide each side by '-12'. w = -0.1666666667 Simplifying w = -0.1666666667
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