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Simplifying 6(6b + 5) + -4(1 + 6b) = 62 Reorder the terms: 6(5 + 6b) + -4(1 + 6b) = 62 (5 * 6 + 6b * 6) + -4(1 + 6b) = 62 (30 + 36b) + -4(1 + 6b) = 62 30 + 36b + (1 * -4 + 6b * -4) = 62 30 + 36b + (-4 + -24b) = 62 Reorder the terms: 30 + -4 + 36b + -24b = 62 Combine like terms: 30 + -4 = 26 26 + 36b + -24b = 62 Combine like terms: 36b + -24b = 12b 26 + 12b = 62 Solving 26 + 12b = 62 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 + 12b = 62 + -26 Combine like terms: 26 + -26 = 0 0 + 12b = 62 + -26 12b = 62 + -26 Combine like terms: 62 + -26 = 36 12b = 36 Divide each side by '12'. b = 3 Simplifying b = 3
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