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Simplifying 6(10b + 13) = -5(-17b + -3) + -4b Reorder the terms: 6(13 + 10b) = -5(-17b + -3) + -4b (13 * 6 + 10b * 6) = -5(-17b + -3) + -4b (78 + 60b) = -5(-17b + -3) + -4b Reorder the terms: 78 + 60b = -5(-3 + -17b) + -4b 78 + 60b = (-3 * -5 + -17b * -5) + -4b 78 + 60b = (15 + 85b) + -4b Combine like terms: 85b + -4b = 81b 78 + 60b = 15 + 81b Solving 78 + 60b = 15 + 81b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-81b' to each side of the equation. 78 + 60b + -81b = 15 + 81b + -81b Combine like terms: 60b + -81b = -21b 78 + -21b = 15 + 81b + -81b Combine like terms: 81b + -81b = 0 78 + -21b = 15 + 0 78 + -21b = 15 Add '-78' to each side of the equation. 78 + -78 + -21b = 15 + -78 Combine like terms: 78 + -78 = 0 0 + -21b = 15 + -78 -21b = 15 + -78 Combine like terms: 15 + -78 = -63 -21b = -63 Divide each side by '-21'. b = 3 Simplifying b = 3
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