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Simplifying 1 + 2(b + 6) = 5(b + 1) Reorder the terms: 1 + 2(6 + b) = 5(b + 1) 1 + (6 * 2 + b * 2) = 5(b + 1) 1 + (12 + 2b) = 5(b + 1) Combine like terms: 1 + 12 = 13 13 + 2b = 5(b + 1) Reorder the terms: 13 + 2b = 5(1 + b) 13 + 2b = (1 * 5 + b * 5) 13 + 2b = (5 + 5b) Solving 13 + 2b = 5 + 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. 13 + 2b + -5b = 5 + 5b + -5b Combine like terms: 2b + -5b = -3b 13 + -3b = 5 + 5b + -5b Combine like terms: 5b + -5b = 0 13 + -3b = 5 + 0 13 + -3b = 5 Add '-13' to each side of the equation. 13 + -13 + -3b = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -3b = 5 + -13 -3b = 5 + -13 Combine like terms: 5 + -13 = -8 -3b = -8 Divide each side by '-3'. b = 2.666666667 Simplifying b = 2.666666667
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