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Simplifying -9(b + 10) = 9(b + 4) Reorder the terms: -9(10 + b) = 9(b + 4) (10 * -9 + b * -9) = 9(b + 4) (-90 + -9b) = 9(b + 4) Reorder the terms: -90 + -9b = 9(4 + b) -90 + -9b = (4 * 9 + b * 9) -90 + -9b = (36 + 9b) Solving -90 + -9b = 36 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -90 + -9b + -9b = 36 + 9b + -9b Combine like terms: -9b + -9b = -18b -90 + -18b = 36 + 9b + -9b Combine like terms: 9b + -9b = 0 -90 + -18b = 36 + 0 -90 + -18b = 36 Add '90' to each side of the equation. -90 + 90 + -18b = 36 + 90 Combine like terms: -90 + 90 = 0 0 + -18b = 36 + 90 -18b = 36 + 90 Combine like terms: 36 + 90 = 126 -18b = 126 Divide each side by '-18'. b = -7 Simplifying b = -7
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