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Simplifying -5(b + -6) + -1(2b + -1) = 3b + 7 Reorder the terms: -5(-6 + b) + -1(2b + -1) = 3b + 7 (-6 * -5 + b * -5) + -1(2b + -1) = 3b + 7 (30 + -5b) + -1(2b + -1) = 3b + 7 Reorder the terms: 30 + -5b + -1(-1 + 2b) = 3b + 7 30 + -5b + (-1 * -1 + 2b * -1) = 3b + 7 30 + -5b + (1 + -2b) = 3b + 7 Reorder the terms: 30 + 1 + -5b + -2b = 3b + 7 Combine like terms: 30 + 1 = 31 31 + -5b + -2b = 3b + 7 Combine like terms: -5b + -2b = -7b 31 + -7b = 3b + 7 Reorder the terms: 31 + -7b = 7 + 3b Solving 31 + -7b = 7 + 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. 31 + -7b + -3b = 7 + 3b + -3b Combine like terms: -7b + -3b = -10b 31 + -10b = 7 + 3b + -3b Combine like terms: 3b + -3b = 0 31 + -10b = 7 + 0 31 + -10b = 7 Add '-31' to each side of the equation. 31 + -31 + -10b = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -10b = 7 + -31 -10b = 7 + -31 Combine like terms: 7 + -31 = -24 -10b = -24 Divide each side by '-10'. b = 2.4 Simplifying b = 2.4
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