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Simplifying -5 + -5(2b + -7) = 7b + 13 Reorder the terms: -5 + -5(-7 + 2b) = 7b + 13 -5 + (-7 * -5 + 2b * -5) = 7b + 13 -5 + (35 + -10b) = 7b + 13 Combine like terms: -5 + 35 = 30 30 + -10b = 7b + 13 Reorder the terms: 30 + -10b = 13 + 7b Solving 30 + -10b = 13 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 30 + -10b + -7b = 13 + 7b + -7b Combine like terms: -10b + -7b = -17b 30 + -17b = 13 + 7b + -7b Combine like terms: 7b + -7b = 0 30 + -17b = 13 + 0 30 + -17b = 13 Add '-30' to each side of the equation. 30 + -30 + -17b = 13 + -30 Combine like terms: 30 + -30 = 0 0 + -17b = 13 + -30 -17b = 13 + -30 Combine like terms: 13 + -30 = -17 -17b = -17 Divide each side by '-17'. b = 1 Simplifying b = 1
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