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Simplifying -2 + 6(5b + -4) = 7(b + 4) + 5b Reorder the terms: -2 + 6(-4 + 5b) = 7(b + 4) + 5b -2 + (-4 * 6 + 5b * 6) = 7(b + 4) + 5b -2 + (-24 + 30b) = 7(b + 4) + 5b Combine like terms: -2 + -24 = -26 -26 + 30b = 7(b + 4) + 5b Reorder the terms: -26 + 30b = 7(4 + b) + 5b -26 + 30b = (4 * 7 + b * 7) + 5b -26 + 30b = (28 + 7b) + 5b Combine like terms: 7b + 5b = 12b -26 + 30b = 28 + 12b Solving -26 + 30b = 28 + 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. -26 + 30b + -12b = 28 + 12b + -12b Combine like terms: 30b + -12b = 18b -26 + 18b = 28 + 12b + -12b Combine like terms: 12b + -12b = 0 -26 + 18b = 28 + 0 -26 + 18b = 28 Add '26' to each side of the equation. -26 + 26 + 18b = 28 + 26 Combine like terms: -26 + 26 = 0 0 + 18b = 28 + 26 18b = 28 + 26 Combine like terms: 28 + 26 = 54 18b = 54 Divide each side by '18'. b = 3 Simplifying b = 3
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