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Simplifying 6 = -3(22 + -1B) + 2(B + -4) 6 = (22 * -3 + -1B * -3) + 2(B + -4) 6 = (-66 + 3B) + 2(B + -4) Reorder the terms: 6 = -66 + 3B + 2(-4 + B) 6 = -66 + 3B + (-4 * 2 + B * 2) 6 = -66 + 3B + (-8 + 2B) Reorder the terms: 6 = -66 + -8 + 3B + 2B Combine like terms: -66 + -8 = -74 6 = -74 + 3B + 2B Combine like terms: 3B + 2B = 5B 6 = -74 + 5B Solving 6 = -74 + 5B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-5B' to each side of the equation. 6 + -5B = -74 + 5B + -5B Combine like terms: 5B + -5B = 0 6 + -5B = -74 + 0 6 + -5B = -74 Add '-6' to each side of the equation. 6 + -6 + -5B = -74 + -6 Combine like terms: 6 + -6 = 0 0 + -5B = -74 + -6 -5B = -74 + -6 Combine like terms: -74 + -6 = -80 -5B = -80 Divide each side by '-5'. B = 16 Simplifying B = 16
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