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Simplifying -8(1 + 4b) + 8b = 34 + -3b (1 * -8 + 4b * -8) + 8b = 34 + -3b (-8 + -32b) + 8b = 34 + -3b Combine like terms: -32b + 8b = -24b -8 + -24b = 34 + -3b Solving -8 + -24b = 34 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -8 + -24b + 3b = 34 + -3b + 3b Combine like terms: -24b + 3b = -21b -8 + -21b = 34 + -3b + 3b Combine like terms: -3b + 3b = 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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