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Simplifying 5(3b + 7) + -14b = 9 + 61 Reorder the terms: 5(7 + 3b) + -14b = 9 + 61 (7 * 5 + 3b * 5) + -14b = 9 + 61 (35 + 15b) + -14b = 9 + 61 Combine like terms: 15b + -14b = 1b 35 + 1b = 9 + 61 Combine like terms: 9 + 61 = 70 35 + 1b = 70 Solving 35 + 1b = 70 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 1b = 70 + -35 Combine like terms: 35 + -35 = 0 0 + 1b = 70 + -35 1b = 70 + -35 Combine like terms: 70 + -35 = 35 1b = 35 Divide each side by '1'. b = 35 Simplifying b = 35
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