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Simplifying 2(5b + -1) = 7b + 7 Reorder the terms: 2(-1 + 5b) = 7b + 7 (-1 * 2 + 5b * 2) = 7b + 7 (-2 + 10b) = 7b + 7 Reorder the terms: -2 + 10b = 7 + 7b Solving -2 + 10b = 7 + 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. -2 + 10b + -7b = 7 + 7b + -7b Combine like terms: 10b + -7b = 3b -2 + 3b = 7 + 7b + -7b Combine like terms: 7b + -7b = 0 -2 + 3b = 7 + 0 -2 + 3b = 7 Add '2' to each side of the equation. -2 + 2 + 3b = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3b = 7 + 2 3b = 7 + 2 Combine like terms: 7 + 2 = 9 3b = 9 Divide each side by '3'. b = 3 Simplifying b = 3
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