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Simplifying 3(2b + -3) = 1 + 7b Reorder the terms: 3(-3 + 2b) = 1 + 7b (-3 * 3 + 2b * 3) = 1 + 7b (-9 + 6b) = 1 + 7b Solving -9 + 6b = 1 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -9 + 6b + -7b = 1 + 7b + -7b Combine like terms: 6b + -7b = -1b -9 + -1b = 1 + 7b + -7b Combine like terms: 7b + -7b = 0 -9 + -1b = 1 + 0 -9 + -1b = 1 Add '9' to each side of the equation. -9 + 9 + -1b = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -1b = 1 + 9 -1b = 1 + 9 Combine like terms: 1 + 9 = 10 -1b = 10 Divide each side by '-1'. b = -10 Simplifying b = -10
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