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Simplifying 5(b + 2) = -1(-3b + -12) Reorder the terms: 5(2 + b) = -1(-3b + -12) (2 * 5 + b * 5) = -1(-3b + -12) (10 + 5b) = -1(-3b + -12) Reorder the terms: 10 + 5b = -1(-12 + -3b) 10 + 5b = (-12 * -1 + -3b * -1) 10 + 5b = (12 + 3b) Solving 10 + 5b = 12 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 10 + 5b + -3b = 12 + 3b + -3b Combine like terms: 5b + -3b = 2b 10 + 2b = 12 + 3b + -3b Combine like terms: 3b + -3b = 0 10 + 2b = 12 + 0 10 + 2b = 12 Add '-10' to each side of the equation. 10 + -10 + 2b = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2b = 12 + -10 2b = 12 + -10 Combine like terms: 12 + -10 = 2 2b = 2 Divide each side by '2'. b = 1 Simplifying b = 1
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