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Simplifying 2(b + 5) + -3(b + -3) = 4 Reorder the terms: 2(5 + b) + -3(b + -3) = 4 (5 * 2 + b * 2) + -3(b + -3) = 4 (10 + 2b) + -3(b + -3) = 4 Reorder the terms: 10 + 2b + -3(-3 + b) = 4 10 + 2b + (-3 * -3 + b * -3) = 4 10 + 2b + (9 + -3b) = 4 Reorder the terms: 10 + 9 + 2b + -3b = 4 Combine like terms: 10 + 9 = 19 19 + 2b + -3b = 4 Combine like terms: 2b + -3b = -1b 19 + -1b = 4 Solving 19 + -1b = 4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1b = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -1b = 4 + -19 -1b = 4 + -19 Combine like terms: 4 + -19 = -15 -1b = -15 Divide each side by '-1'. b = 15 Simplifying b = 15
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