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Simplifying -6(-2b + -2) + -2(b + 4) = 34 Reorder the terms: -6(-2 + -2b) + -2(b + 4) = 34 (-2 * -6 + -2b * -6) + -2(b + 4) = 34 (12 + 12b) + -2(b + 4) = 34 Reorder the terms: 12 + 12b + -2(4 + b) = 34 12 + 12b + (4 * -2 + b * -2) = 34 12 + 12b + (-8 + -2b) = 34 Reorder the terms: 12 + -8 + 12b + -2b = 34 Combine like terms: 12 + -8 = 4 4 + 12b + -2b = 34 Combine like terms: 12b + -2b = 10b 4 + 10b = 34 Solving 4 + 10b = 34 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10b = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 10b = 34 + -4 10b = 34 + -4 Combine like terms: 34 + -4 = 30 10b = 30 Divide each side by '10'. b = 3 Simplifying b = 3
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