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Simplifying B + -1(7 + -1b) = 5b + 8 B + (7 * -1 + -1b * -1) = 5b + 8 B + (-7 + 1b) = 5b + 8 Reorder the terms: -7 + B + 1b = 5b + 8 Reorder the terms: -7 + B + 1b = 8 + 5b Solving -7 + B + 1b = 8 + 5b Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '7' to each side of the equation. -7 + B + 7 + 1b = 8 + 7 + 5b Reorder the terms: -7 + 7 + B + 1b = 8 + 7 + 5b Combine like terms: -7 + 7 = 0 0 + B + 1b = 8 + 7 + 5b B + 1b = 8 + 7 + 5b Combine like terms: 8 + 7 = 15 B + 1b = 15 + 5b Add '-1b' to each side of the equation. B + 1b + -1b = 15 + 5b + -1b Combine like terms: 1b + -1b = 0 B + 0 = 15 + 5b + -1b B = 15 + 5b + -1b Combine like terms: 5b + -1b = 4b B = 15 + 4b Simplifying B = 15 + 4b
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