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Simplifying 4B + -3 = 5(B + -9) Reorder the terms: -3 + 4B = 5(B + -9) Reorder the terms: -3 + 4B = 5(-9 + B) -3 + 4B = (-9 * 5 + B * 5) -3 + 4B = (-45 + 5B) Solving -3 + 4B = -45 + 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. -3 + 4B + -5B = -45 + 5B + -5B Combine like terms: 4B + -5B = -1B -3 + -1B = -45 + 5B + -5B Combine like terms: 5B + -5B = 0 -3 + -1B = -45 + 0 -3 + -1B = -45 Add '3' to each side of the equation. -3 + 3 + -1B = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -1B = -45 + 3 -1B = -45 + 3 Combine like terms: -45 + 3 = -42 -1B = -42 Divide each side by '-1'. B = 42 Simplifying B = 42
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