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Simplifying -10 + -8b = 3(1 + -7b) -10 + -8b = (1 * 3 + -7b * 3) -10 + -8b = (3 + -21b) Solving -10 + -8b = 3 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. -10 + -8b + 21b = 3 + -21b + 21b Combine like terms: -8b + 21b = 13b -10 + 13b = 3 + -21b + 21b Combine like terms: -21b + 21b = 0 -10 + 13b = 3 + 0 -10 + 13b = 3 Add '10' to each side of the equation. -10 + 10 + 13b = 3 + 10 Combine like terms: -10 + 10 = 0 0 + 13b = 3 + 10 13b = 3 + 10 Combine like terms: 3 + 10 = 13 13b = 13 Divide each side by '13'. b = 1 Simplifying b = 1
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