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Simplifying 5(B + 3) = 4(B + -7) + 2B Reorder the terms: 5(3 + B) = 4(B + -7) + 2B (3 * 5 + B * 5) = 4(B + -7) + 2B (15 + 5B) = 4(B + -7) + 2B Reorder the terms: 15 + 5B = 4(-7 + B) + 2B 15 + 5B = (-7 * 4 + B * 4) + 2B 15 + 5B = (-28 + 4B) + 2B Combine like terms: 4B + 2B = 6B 15 + 5B = -28 + 6B Solving 15 + 5B = -28 + 6B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-6B' to each side of the equation. 15 + 5B + -6B = -28 + 6B + -6B Combine like terms: 5B + -6B = -1B 15 + -1B = -28 + 6B + -6B Combine like terms: 6B + -6B = 0 15 + -1B = -28 + 0 15 + -1B = -28 Add '-15' to each side of the equation. 15 + -15 + -1B = -28 + -15 Combine like terms: 15 + -15 = 0 0 + -1B = -28 + -15 -1B = -28 + -15 Combine like terms: -28 + -15 = -43 -1B = -43 Divide each side by '-1'. B = 43 Simplifying B = 43
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