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Simplifying 7b + 2(1 + -1b) = 8b + -4 7b + (1 * 2 + -1b * 2) = 8b + -4 7b + (2 + -2b) = 8b + -4 Reorder the terms: 2 + 7b + -2b = 8b + -4 Combine like terms: 7b + -2b = 5b 2 + 5b = 8b + -4 Reorder the terms: 2 + 5b = -4 + 8b Solving 2 + 5b = -4 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 2 + 5b + -8b = -4 + 8b + -8b Combine like terms: 5b + -8b = -3b 2 + -3b = -4 + 8b + -8b Combine like terms: 8b + -8b = 0 2 + -3b = -4 + 0 2 + -3b = -4 Add '-2' to each side of the equation. 2 + -2 + -3b = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -3b = -4 + -2 -3b = -4 + -2 Combine like terms: -4 + -2 = -6 -3b = -6 Divide each side by '-3'. b = 2 Simplifying b = 2
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