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Simplifying 7(4B + -1) = -3(B + -2) Reorder the terms: 7(-1 + 4B) = -3(B + -2) (-1 * 7 + 4B * 7) = -3(B + -2) (-7 + 28B) = -3(B + -2) Reorder the terms: -7 + 28B = -3(-2 + B) -7 + 28B = (-2 * -3 + B * -3) -7 + 28B = (6 + -3B) Solving -7 + 28B = 6 + -3B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '3B' to each side of the equation. -7 + 28B + 3B = 6 + -3B + 3B Combine like terms: 28B + 3B = 31B -7 + 31B = 6 + -3B + 3B Combine like terms: -3B + 3B = 0 -7 + 31B = 6 + 0 -7 + 31B = 6 Add '7' to each side of the equation. -7 + 7 + 31B = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 31B = 6 + 7 31B = 6 + 7 Combine like terms: 6 + 7 = 13 31B = 13 Divide each side by '31'. B = 0.4193548387 Simplifying B = 0.4193548387
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