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Simplifying 45 = 5(2b + 3) + 10 Reorder the terms: 45 = 5(3 + 2b) + 10 45 = (3 * 5 + 2b * 5) + 10 45 = (15 + 10b) + 10 Reorder the terms: 45 = 15 + 10 + 10b Combine like terms: 15 + 10 = 25 45 = 25 + 10b Solving 45 = 25 + 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. 45 + -10b = 25 + 10b + -10b Combine like terms: 10b + -10b = 0 45 + -10b = 25 + 0 45 + -10b = 25 Add '-45' to each side of the equation. 45 + -45 + -10b = 25 + -45 Combine like terms: 45 + -45 = 0 0 + -10b = 25 + -45 -10b = 25 + -45 Combine like terms: 25 + -45 = -20 -10b = -20 Divide each side by '-10'. b = 2 Simplifying b = 2
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