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Simplifying (3b + 1) + -1(2b + -7) = 0 Reorder the terms: (1 + 3b) + -1(2b + -7) = 0 Remove parenthesis around (1 + 3b) 1 + 3b + -1(2b + -7) = 0 Reorder the terms: 1 + 3b + -1(-7 + 2b) = 0 1 + 3b + (-7 * -1 + 2b * -1) = 0 1 + 3b + (7 + -2b) = 0 Reorder the terms: 1 + 7 + 3b + -2b = 0 Combine like terms: 1 + 7 = 8 8 + 3b + -2b = 0 Combine like terms: 3b + -2b = 1b 8 + 1b = 0 Solving 8 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1b = 0 + -8 1b = 0 + -8 Combine like terms: 0 + -8 = -8 1b = -8 Divide each side by '1'. b = -8 Simplifying b = -8
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