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Simplifying 5(8 + -6b) + -5(2 + -3b) = -60 (8 * 5 + -6b * 5) + -5(2 + -3b) = -60 (40 + -30b) + -5(2 + -3b) = -60 40 + -30b + (2 * -5 + -3b * -5) = -60 40 + -30b + (-10 + 15b) = -60 Reorder the terms: 40 + -10 + -30b + 15b = -60 Combine like terms: 40 + -10 = 30 30 + -30b + 15b = -60 Combine like terms: -30b + 15b = -15b 30 + -15b = -60 Solving 30 + -15b = -60 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -15b = -60 + -30 Combine like terms: 30 + -30 = 0 0 + -15b = -60 + -30 -15b = -60 + -30 Combine like terms: -60 + -30 = -90 -15b = -90 Divide each side by '-15'. b = 6 Simplifying b = 6
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