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Simplifying 3(b + 2) + -5(3 + -2b) = 17 Reorder the terms: 3(2 + b) + -5(3 + -2b) = 17 (2 * 3 + b * 3) + -5(3 + -2b) = 17 (6 + 3b) + -5(3 + -2b) = 17 6 + 3b + (3 * -5 + -2b * -5) = 17 6 + 3b + (-15 + 10b) = 17 Reorder the terms: 6 + -15 + 3b + 10b = 17 Combine like terms: 6 + -15 = -9 -9 + 3b + 10b = 17 Combine like terms: 3b + 10b = 13b -9 + 13b = 17 Solving -9 + 13b = 17 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 13b = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 13b = 17 + 9 13b = 17 + 9 Combine like terms: 17 + 9 = 26 13b = 26 Divide each side by '13'. b = 2 Simplifying b = 2
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