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Simplifying 7(7b + 9) + 4b = 6(1 + 12b) Reorder the terms: 7(9 + 7b) + 4b = 6(1 + 12b) (9 * 7 + 7b * 7) + 4b = 6(1 + 12b) (63 + 49b) + 4b = 6(1 + 12b) Combine like terms: 49b + 4b = 53b 63 + 53b = 6(1 + 12b) 63 + 53b = (1 * 6 + 12b * 6) 63 + 53b = (6 + 72b) Solving 63 + 53b = 6 + 72b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-72b' to each side of the equation. 63 + 53b + -72b = 6 + 72b + -72b Combine like terms: 53b + -72b = -19b 63 + -19b = 6 + 72b + -72b Combine like terms: 72b + -72b = 0 63 + -19b = 6 + 0 63 + -19b = 6 Add '-63' to each side of the equation. 63 + -63 + -19b = 6 + -63 Combine like terms: 63 + -63 = 0 0 + -19b = 6 + -63 -19b = 6 + -63 Combine like terms: 6 + -63 = -57 -19b = -57 Divide each side by '-19'. b = 3 Simplifying b = 3
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