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Simplifying 9(6b + 7) = 21 + -5b Reorder the terms: 9(7 + 6b) = 21 + -5b (7 * 9 + 6b * 9) = 21 + -5b (63 + 54b) = 21 + -5b Solving 63 + 54b = 21 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 63 + 54b + 5b = 21 + -5b + 5b Combine like terms: 54b + 5b = 59b 63 + 59b = 21 + -5b + 5b Combine like terms: -5b + 5b = 0 63 + 59b = 21 + 0 63 + 59b = 21 Add '-63' to each side of the equation. 63 + -63 + 59b = 21 + -63 Combine like terms: 63 + -63 = 0 0 + 59b = 21 + -63 59b = 21 + -63 Combine like terms: 21 + -63 = -42 59b = -42 Divide each side by '59'. b = -0.7118644068 Simplifying b = -0.7118644068
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