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Simplifying B + 7 = 9(B + 7) + -2 Reorder the terms: 7 + B = 9(B + 7) + -2 Reorder the terms: 7 + B = 9(7 + B) + -2 7 + B = (7 * 9 + B * 9) + -2 7 + B = (63 + 9B) + -2 Reorder the terms: 7 + B = 63 + -2 + 9B Combine like terms: 63 + -2 = 61 7 + B = 61 + 9B Solving 7 + B = 61 + 9B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-9B' to each side of the equation. 7 + B + -9B = 61 + 9B + -9B Combine like terms: B + -9B = -8B 7 + -8B = 61 + 9B + -9B Combine like terms: 9B + -9B = 0 7 + -8B = 61 + 0 7 + -8B = 61 Add '-7' to each side of the equation. 7 + -7 + -8B = 61 + -7 Combine like terms: 7 + -7 = 0 0 + -8B = 61 + -7 -8B = 61 + -7 Combine like terms: 61 + -7 = 54 -8B = 54 Divide each side by '-8'. B = -6.75 Simplifying B = -6.75
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