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Simplifying -8(1 + -3b) + -1(3b + 2) = 32 (1 * -8 + -3b * -8) + -1(3b + 2) = 32 (-8 + 24b) + -1(3b + 2) = 32 Reorder the terms: -8 + 24b + -1(2 + 3b) = 32 -8 + 24b + (2 * -1 + 3b * -1) = 32 -8 + 24b + (-2 + -3b) = 32 Reorder the terms: -8 + -2 + 24b + -3b = 32 Combine like terms: -8 + -2 = -10 -10 + 24b + -3b = 32 Combine like terms: 24b + -3b = 21b -10 + 21b = 32 Solving -10 + 21b = 32 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 21b = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 21b = 32 + 10 21b = 32 + 10 Combine like terms: 32 + 10 = 42 21b = 42 Divide each side by '21'. b = 2 Simplifying b = 2
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