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Simplifying -3(b + -6) + -1(2b + -1) = 5b + 1 Reorder the terms: -3(-6 + b) + -1(2b + -1) = 5b + 1 (-6 * -3 + b * -3) + -1(2b + -1) = 5b + 1 (18 + -3b) + -1(2b + -1) = 5b + 1 Reorder the terms: 18 + -3b + -1(-1 + 2b) = 5b + 1 18 + -3b + (-1 * -1 + 2b * -1) = 5b + 1 18 + -3b + (1 + -2b) = 5b + 1 Reorder the terms: 18 + 1 + -3b + -2b = 5b + 1 Combine like terms: 18 + 1 = 19 19 + -3b + -2b = 5b + 1 Combine like terms: -3b + -2b = -5b 19 + -5b = 5b + 1 Reorder the terms: 19 + -5b = 1 + 5b Solving 19 + -5b = 1 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 19 + -5b + -5b = 1 + 5b + -5b Combine like terms: -5b + -5b = -10b 19 + -10b = 1 + 5b + -5b Combine like terms: 5b + -5b = 0 19 + -10b = 1 + 0 19 + -10b = 1 Add '-19' to each side of the equation. 19 + -19 + -10b = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -10b = 1 + -19 -10b = 1 + -19 Combine like terms: 1 + -19 = -18 -10b = -18 Divide each side by '-10'. b = 1.8 Simplifying b = 1.8
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