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Simplifying -3b + -8(1 + 3b) = 34 + -6b -3b + (1 * -8 + 3b * -8) = 34 + -6b -3b + (-8 + -24b) = 34 + -6b Reorder the terms: -8 + -3b + -24b = 34 + -6b Combine like terms: -3b + -24b = -27b -8 + -27b = 34 + -6b Solving -8 + -27b = 34 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -8 + -27b + 6b = 34 + -6b + 6b Combine like terms: -27b + 6b = -21b -8 + -21b = 34 + -6b + 6b Combine like terms: -6b + 6b = 0 -8 + -21b = 34 + 0 -8 + -21b = 34 Add '8' to each side of the equation. -8 + 8 + -21b = 34 + 8 Combine like terms: -8 + 8 = 0 0 + -21b = 34 + 8 -21b = 34 + 8 Combine like terms: 34 + 8 = 42 -21b = 42 Divide each side by '-21'. b = -2 Simplifying b = -2
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