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Simplifying -3b + -48 = -9(3v + 6) Reorder the terms: -48 + -3b = -9(3v + 6) Reorder the terms: -48 + -3b = -9(6 + 3v) -48 + -3b = (6 * -9 + 3v * -9) -48 + -3b = (-54 + -27v) Solving -48 + -3b = -54 + -27v Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -3b = -54 + 48 + -27v Combine like terms: -48 + 48 = 0 0 + -3b = -54 + 48 + -27v -3b = -54 + 48 + -27v Combine like terms: -54 + 48 = -6 -3b = -6 + -27v Divide each side by '-3'. b = 2 + 9v Simplifying b = 2 + 9v
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