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Simplifying 5(b + 3) = -1(2b + 7) + -6 Reorder the terms: 5(3 + b) = -1(2b + 7) + -6 (3 * 5 + b * 5) = -1(2b + 7) + -6 (15 + 5b) = -1(2b + 7) + -6 Reorder the terms: 15 + 5b = -1(7 + 2b) + -6 15 + 5b = (7 * -1 + 2b * -1) + -6 15 + 5b = (-7 + -2b) + -6 Reorder the terms: 15 + 5b = -7 + -6 + -2b Combine like terms: -7 + -6 = -13 15 + 5b = -13 + -2b Solving 15 + 5b = -13 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 15 + 5b + 2b = -13 + -2b + 2b Combine like terms: 5b + 2b = 7b 15 + 7b = -13 + -2b + 2b Combine like terms: -2b + 2b = 0 15 + 7b = -13 + 0 15 + 7b = -13 Add '-15' to each side of the equation. 15 + -15 + 7b = -13 + -15 Combine like terms: 15 + -15 = 0 0 + 7b = -13 + -15 7b = -13 + -15 Combine like terms: -13 + -15 = -28 7b = -28 Divide each side by '7'. b = -4 Simplifying b = -4
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