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Simplifying 3b + 7 = 5(2b + 3) Reorder the terms: 7 + 3b = 5(2b + 3) Reorder the terms: 7 + 3b = 5(3 + 2b) 7 + 3b = (3 * 5 + 2b * 5) 7 + 3b = (15 + 10b) Solving 7 + 3b = 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. 7 + 3b + -10b = 15 + 10b + -10b Combine like terms: 3b + -10b = -7b 7 + -7b = 15 + 10b + -10b Combine like terms: 10b + -10b = 0 7 + -7b = 15 + 0 7 + -7b = 15 Add '-7' to each side of the equation. 7 + -7 + -7b = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -7b = 15 + -7 -7b = 15 + -7 Combine like terms: 15 + -7 = 8 -7b = 8 Divide each side by '-7'. b = -1.142857143 Simplifying b = -1.142857143
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