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Simplifying 7B + 4 = 8(B + 1) Reorder the terms: 4 + 7B = 8(B + 1) Reorder the terms: 4 + 7B = 8(1 + B) 4 + 7B = (1 * 8 + B * 8) 4 + 7B = (8 + 8B) Solving 4 + 7B = 8 + 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. 4 + 7B + -8B = 8 + 8B + -8B Combine like terms: 7B + -8B = -1B 4 + -1B = 8 + 8B + -8B Combine like terms: 8B + -8B = 0 4 + -1B = 8 + 0 4 + -1B = 8 Add '-4' to each side of the equation. 4 + -4 + -1B = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -1B = 8 + -4 -1B = 8 + -4 Combine like terms: 8 + -4 = 4 -1B = 4 Divide each side by '-1'. B = -4 Simplifying B = -4
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