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Simplifying 5(3 + -2b) + 5n = 65 (3 * 5 + -2b * 5) + 5n = 65 (15 + -10b) + 5n = 65 Solving 15 + -10b + 5n = 65 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -10b + -15 + 5n = 65 + -15 Reorder the terms: 15 + -15 + -10b + 5n = 65 + -15 Combine like terms: 15 + -15 = 0 0 + -10b + 5n = 65 + -15 -10b + 5n = 65 + -15 Combine like terms: 65 + -15 = 50 -10b + 5n = 50 Add '-5n' to each side of the equation. -10b + 5n + -5n = 50 + -5n Combine like terms: 5n + -5n = 0 -10b + 0 = 50 + -5n -10b = 50 + -5n Divide each side by '-10'. b = -5 + 0.5n Simplifying b = -5 + 0.5n
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