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Simplifying 1 + -9(b + 6) = -2 Reorder the terms: 1 + -9(6 + b) = -2 1 + (6 * -9 + b * -9) = -2 1 + (-54 + -9b) = -2 Combine like terms: 1 + -54 = -53 -53 + -9b = -2 Solving -53 + -9b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -9b = -2 + 53 Combine like terms: -53 + 53 = 0 0 + -9b = -2 + 53 -9b = -2 + 53 Combine like terms: -2 + 53 = 51 -9b = 51 Divide each side by '-9'. b = -5.666666667 Simplifying b = -5.666666667
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