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Simplifying 4(3b + -1) = 5(2b + 3) Reorder the terms: 4(-1 + 3b) = 5(2b + 3) (-1 * 4 + 3b * 4) = 5(2b + 3) (-4 + 12b) = 5(2b + 3) Reorder the terms: -4 + 12b = 5(3 + 2b) -4 + 12b = (3 * 5 + 2b * 5) -4 + 12b = (15 + 10b) Solving -4 + 12b = 15 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -4 + 12b + -10b = 15 + 10b + -10b Combine like terms: 12b + -10b = 2b -4 + 2b = 15 + 10b + -10b Combine like terms: 10b + -10b = 0 -4 + 2b = 15 + 0 -4 + 2b = 15 Add '4' to each side of the equation. -4 + 4 + 2b = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 2b = 15 + 4 2b = 15 + 4 Combine like terms: 15 + 4 = 19 2b = 19 Divide each side by '2'. b = 9.5 Simplifying b = 9.5
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