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Simplifying 1 + 3(b + 6) = 5b + -1 Reorder the terms: 1 + 3(6 + b) = 5b + -1 1 + (6 * 3 + b * 3) = 5b + -1 1 + (18 + 3b) = 5b + -1 Combine like terms: 1 + 18 = 19 19 + 3b = 5b + -1 Reorder the terms: 19 + 3b = -1 + 5b Solving 19 + 3b = -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 + 3b + -5b = -1 + 5b + -5b Combine like terms: 3b + -5b = -2b 19 + -2b = -1 + 5b + -5b Combine like terms: 5b + -5b = 0 19 + -2b = -1 + 0 19 + -2b = -1 Add '-19' to each side of the equation. 19 + -19 + -2b = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -2b = -1 + -19 -2b = -1 + -19 Combine like terms: -1 + -19 = -20 -2b = -20 Divide each side by '-2'. b = 10 Simplifying b = 10
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