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Simplifying -6(-2b + -4) + 6 = 114 Reorder the terms: -6(-4 + -2b) + 6 = 114 (-4 * -6 + -2b * -6) + 6 = 114 (24 + 12b) + 6 = 114 Reorder the terms: 24 + 6 + 12b = 114 Combine like terms: 24 + 6 = 30 30 + 12b = 114 Solving 30 + 12b = 114 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 + 12b = 114 + -30 Combine like terms: 30 + -30 = 0 0 + 12b = 114 + -30 12b = 114 + -30 Combine like terms: 114 + -30 = 84 12b = 84 Divide each side by '12'. b = 7 Simplifying b = 7
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