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Simplifying 2(1 + -6b) + -4(8 + -1b) = 34 (1 * 2 + -6b * 2) + -4(8 + -1b) = 34 (2 + -12b) + -4(8 + -1b) = 34 2 + -12b + (8 * -4 + -1b * -4) = 34 2 + -12b + (-32 + 4b) = 34 Reorder the terms: 2 + -32 + -12b + 4b = 34 Combine like terms: 2 + -32 = -30 -30 + -12b + 4b = 34 Combine like terms: -12b + 4b = -8b -30 + -8b = 34 Solving -30 + -8b = 34 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -8b = 34 + 30 Combine like terms: -30 + 30 = 0 0 + -8b = 34 + 30 -8b = 34 + 30 Combine like terms: 34 + 30 = 64 -8b = 64 Divide each side by '-8'. b = -8 Simplifying b = -8
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