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Simplifying 4(B + 9) + -7(B + -10) = 136 Reorder the terms: 4(9 + B) + -7(B + -10) = 136 (9 * 4 + B * 4) + -7(B + -10) = 136 (36 + 4B) + -7(B + -10) = 136 Reorder the terms: 36 + 4B + -7(-10 + B) = 136 36 + 4B + (-10 * -7 + B * -7) = 136 36 + 4B + (70 + -7B) = 136 Reorder the terms: 36 + 70 + 4B + -7B = 136 Combine like terms: 36 + 70 = 106 106 + 4B + -7B = 136 Combine like terms: 4B + -7B = -3B 106 + -3B = 136 Solving 106 + -3B = 136 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + -3B = 136 + -106 Combine like terms: 106 + -106 = 0 0 + -3B = 136 + -106 -3B = 136 + -106 Combine like terms: 136 + -106 = 30 -3B = 30 Divide each side by '-3'. B = -10 Simplifying B = -10
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