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Simplifying (3b + 6) + -1(2b + 7) = 0 Reorder the terms: (6 + 3b) + -1(2b + 7) = 0 Remove parenthesis around (6 + 3b) 6 + 3b + -1(2b + 7) = 0 Reorder the terms: 6 + 3b + -1(7 + 2b) = 0 6 + 3b + (7 * -1 + 2b * -1) = 0 6 + 3b + (-7 + -2b) = 0 Reorder the terms: 6 + -7 + 3b + -2b = 0 Combine like terms: 6 + -7 = -1 -1 + 3b + -2b = 0 Combine like terms: 3b + -2b = 1b -1 + 1b = 0 Solving -1 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1b = 0 + 1 1b = 0 + 1 Combine like terms: 0 + 1 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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