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Simplifying 6(2b + -4) + 7 = -101 Reorder the terms: 6(-4 + 2b) + 7 = -101 (-4 * 6 + 2b * 6) + 7 = -101 (-24 + 12b) + 7 = -101 Reorder the terms: -24 + 7 + 12b = -101 Combine like terms: -24 + 7 = -17 -17 + 12b = -101 Solving -17 + 12b = -101 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12b = -101 + 17 Combine like terms: -17 + 17 = 0 0 + 12b = -101 + 17 12b = -101 + 17 Combine like terms: -101 + 17 = -84 12b = -84 Divide each side by '12'. b = -7 Simplifying b = -7
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