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Simplifying 5(2b + 3) + -7b = -6 Reorder the terms: 5(3 + 2b) + -7b = -6 (3 * 5 + 2b * 5) + -7b = -6 (15 + 10b) + -7b = -6 Combine like terms: 10b + -7b = 3b 15 + 3b = -6 Solving 15 + 3b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3b = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3b = -6 + -15 3b = -6 + -15 Combine like terms: -6 + -15 = -21 3b = -21 Divide each side by '3'. b = -7 Simplifying b = -7
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