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Simplifying 9(7b + -1) = 3(4b + -3) Reorder the terms: 9(-1 + 7b) = 3(4b + -3) (-1 * 9 + 7b * 9) = 3(4b + -3) (-9 + 63b) = 3(4b + -3) Reorder the terms: -9 + 63b = 3(-3 + 4b) -9 + 63b = (-3 * 3 + 4b * 3) -9 + 63b = (-9 + 12b) Add '9' to each side of the equation. -9 + 9 + 63b = -9 + 9 + 12b Combine like terms: -9 + 9 = 0 0 + 63b = -9 + 9 + 12b 63b = -9 + 9 + 12b Combine like terms: -9 + 9 = 0 63b = 0 + 12b 63b = 12b Solving 63b = 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 63b + -12b = 12b + -12b Combine like terms: 63b + -12b = 51b 51b = 12b + -12b Combine like terms: 12b + -12b = 0 51b = 0 Divide each side by '51'. b = 0 Simplifying b = 0
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