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Simplifying 3(2b + 6) + -4(3b + -2) = 56 Reorder the terms: 3(6 + 2b) + -4(3b + -2) = 56 (6 * 3 + 2b * 3) + -4(3b + -2) = 56 (18 + 6b) + -4(3b + -2) = 56 Reorder the terms: 18 + 6b + -4(-2 + 3b) = 56 18 + 6b + (-2 * -4 + 3b * -4) = 56 18 + 6b + (8 + -12b) = 56 Reorder the terms: 18 + 8 + 6b + -12b = 56 Combine like terms: 18 + 8 = 26 26 + 6b + -12b = 56 Combine like terms: 6b + -12b = -6b 26 + -6b = 56 Solving 26 + -6b = 56 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -6b = 56 + -26 Combine like terms: 26 + -26 = 0 0 + -6b = 56 + -26 -6b = 56 + -26 Combine like terms: 56 + -26 = 30 -6b = 30 Divide each side by '-6'. b = -5 Simplifying b = -5
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