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Simplifying -7(9b + 3) = -16 + -6b Reorder the terms: -7(3 + 9b) = -16 + -6b (3 * -7 + 9b * -7) = -16 + -6b (-21 + -63b) = -16 + -6b Solving -21 + -63b = -16 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -21 + -63b + 6b = -16 + -6b + 6b Combine like terms: -63b + 6b = -57b -21 + -57b = -16 + -6b + 6b Combine like terms: -6b + 6b = 0 -21 + -57b = -16 + 0 -21 + -57b = -16 Add '21' to each side of the equation. -21 + 21 + -57b = -16 + 21 Combine like terms: -21 + 21 = 0 0 + -57b = -16 + 21 -57b = -16 + 21 Combine like terms: -16 + 21 = 5 -57b = 5 Divide each side by '-57'. b = -0.08771929825 Simplifying b = -0.08771929825
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