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Simplifying -1(7 + 7b) + -3(1 + -8b) = 58 (7 * -1 + 7b * -1) + -3(1 + -8b) = 58 (-7 + -7b) + -3(1 + -8b) = 58 -7 + -7b + (1 * -3 + -8b * -3) = 58 -7 + -7b + (-3 + 24b) = 58 Reorder the terms: -7 + -3 + -7b + 24b = 58 Combine like terms: -7 + -3 = -10 -10 + -7b + 24b = 58 Combine like terms: -7b + 24b = 17b -10 + 17b = 58 Solving -10 + 17b = 58 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 17b = 58 + 10 Combine like terms: -10 + 10 = 0 0 + 17b = 58 + 10 17b = 58 + 10 Combine like terms: 58 + 10 = 68 17b = 68 Divide each side by '17'. b = 4 Simplifying b = 4
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