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Simplifying 3(x + -2) + -4(2b + 5) = 9 Reorder the terms: 3(-2 + x) + -4(2b + 5) = 9 (-2 * 3 + x * 3) + -4(2b + 5) = 9 (-6 + 3x) + -4(2b + 5) = 9 Reorder the terms: -6 + 3x + -4(5 + 2b) = 9 -6 + 3x + (5 * -4 + 2b * -4) = 9 -6 + 3x + (-20 + -8b) = 9 Reorder the terms: -6 + -20 + -8b + 3x = 9 Combine like terms: -6 + -20 = -26 -26 + -8b + 3x = 9 Solving -26 + -8b + 3x = 9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '26' to each side of the equation. -26 + -8b + 26 + 3x = 9 + 26 Reorder the terms: -26 + 26 + -8b + 3x = 9 + 26 Combine like terms: -26 + 26 = 0 0 + -8b + 3x = 9 + 26 -8b + 3x = 9 + 26 Combine like terms: 9 + 26 = 35 -8b + 3x = 35 Add '-3x' to each side of the equation. -8b + 3x + -3x = 35 + -3x Combine like terms: 3x + -3x = 0 -8b + 0 = 35 + -3x -8b = 35 + -3x Divide each side by '-8'. b = -4.375 + 0.375x Simplifying b = -4.375 + 0.375x
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