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Simplifying 3b + -2(b + -5) = 2(b + 4) Reorder the terms: 3b + -2(-5 + b) = 2(b + 4) 3b + (-5 * -2 + b * -2) = 2(b + 4) 3b + (10 + -2b) = 2(b + 4) Reorder the terms: 10 + 3b + -2b = 2(b + 4) Combine like terms: 3b + -2b = 1b 10 + 1b = 2(b + 4) Reorder the terms: 10 + 1b = 2(4 + b) 10 + 1b = (4 * 2 + b * 2) 10 + 1b = (8 + 2b) Solving 10 + 1b = 8 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 10 + 1b + -2b = 8 + 2b + -2b Combine like terms: 1b + -2b = -1b 10 + -1b = 8 + 2b + -2b Combine like terms: 2b + -2b = 0 10 + -1b = 8 + 0 10 + -1b = 8 Add '-10' to each side of the equation. 10 + -10 + -1b = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 8 + -10 -1b = 8 + -10 Combine like terms: 8 + -10 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2
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