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Simplifying -7b + 7 + -3b = 10(1 + 2b) + -7(8b + -7) Reorder the terms: 7 + -7b + -3b = 10(1 + 2b) + -7(8b + -7) Combine like terms: -7b + -3b = -10b 7 + -10b = 10(1 + 2b) + -7(8b + -7) 7 + -10b = (1 * 10 + 2b * 10) + -7(8b + -7) 7 + -10b = (10 + 20b) + -7(8b + -7) Reorder the terms: 7 + -10b = 10 + 20b + -7(-7 + 8b) 7 + -10b = 10 + 20b + (-7 * -7 + 8b * -7) 7 + -10b = 10 + 20b + (49 + -56b) Reorder the terms: 7 + -10b = 10 + 49 + 20b + -56b Combine like terms: 10 + 49 = 59 7 + -10b = 59 + 20b + -56b Combine like terms: 20b + -56b = -36b 7 + -10b = 59 + -36b Solving 7 + -10b = 59 + -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. 7 + -10b + 36b = 59 + -36b + 36b Combine like terms: -10b + 36b = 26b 7 + 26b = 59 + -36b + 36b Combine like terms: -36b + 36b = 0 7 + 26b = 59 + 0 7 + 26b = 59 Add '-7' to each side of the equation. 7 + -7 + 26b = 59 + -7 Combine like terms: 7 + -7 = 0 0 + 26b = 59 + -7 26b = 59 + -7 Combine like terms: 59 + -7 = 52 26b = 52 Divide each side by '26'. b = 2 Simplifying b = 2
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