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Simplifying 3(5b + -1) + 5(3b + 2) = 7 Reorder the terms: 3(-1 + 5b) + 5(3b + 2) = 7 (-1 * 3 + 5b * 3) + 5(3b + 2) = 7 (-3 + 15b) + 5(3b + 2) = 7 Reorder the terms: -3 + 15b + 5(2 + 3b) = 7 -3 + 15b + (2 * 5 + 3b * 5) = 7 -3 + 15b + (10 + 15b) = 7 Reorder the terms: -3 + 10 + 15b + 15b = 7 Combine like terms: -3 + 10 = 7 7 + 15b + 15b = 7 Combine like terms: 15b + 15b = 30b 7 + 30b = 7 Add '-7' to each side of the equation. 7 + -7 + 30b = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 30b = 7 + -7 30b = 7 + -7 Combine like terms: 7 + -7 = 0 30b = 0 Solving 30b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '30'. b = 0.0 Simplifying b = 0.0
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