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Simplifying -3(1 + 3b) + -2 = -8b + 1 (1 * -3 + 3b * -3) + -2 = -8b + 1 (-3 + -9b) + -2 = -8b + 1 Reorder the terms: -3 + -2 + -9b = -8b + 1 Combine like terms: -3 + -2 = -5 -5 + -9b = -8b + 1 Reorder the terms: -5 + -9b = 1 + -8b Solving -5 + -9b = 1 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -5 + -9b + 8b = 1 + -8b + 8b Combine like terms: -9b + 8b = -1b -5 + -1b = 1 + -8b + 8b Combine like terms: -8b + 8b = 0 -5 + -1b = 1 + 0 -5 + -1b = 1 Add '5' to each side of the equation. -5 + 5 + -1b = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -1b = 1 + 5 -1b = 1 + 5 Combine like terms: 1 + 5 = 6 -1b = 6 Divide each side by '-1'. b = -6 Simplifying b = -6
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