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Simplifying 5(3b + 2) + -6(4b + 6) = 2b + -7 Reorder the terms: 5(2 + 3b) + -6(4b + 6) = 2b + -7 (2 * 5 + 3b * 5) + -6(4b + 6) = 2b + -7 (10 + 15b) + -6(4b + 6) = 2b + -7 Reorder the terms: 10 + 15b + -6(6 + 4b) = 2b + -7 10 + 15b + (6 * -6 + 4b * -6) = 2b + -7 10 + 15b + (-36 + -24b) = 2b + -7 Reorder the terms: 10 + -36 + 15b + -24b = 2b + -7 Combine like terms: 10 + -36 = -26 -26 + 15b + -24b = 2b + -7 Combine like terms: 15b + -24b = -9b -26 + -9b = 2b + -7 Reorder the terms: -26 + -9b = -7 + 2b Solving -26 + -9b = -7 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -26 + -9b + -2b = -7 + 2b + -2b Combine like terms: -9b + -2b = -11b -26 + -11b = -7 + 2b + -2b Combine like terms: 2b + -2b = 0 -26 + -11b = -7 + 0 -26 + -11b = -7 Add '26' to each side of the equation. -26 + 26 + -11b = -7 + 26 Combine like terms: -26 + 26 = 0 0 + -11b = -7 + 26 -11b = -7 + 26 Combine like terms: -7 + 26 = 19 -11b = 19 Divide each side by '-11'. b = -1.727272727 Simplifying b = -1.727272727
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