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Simplifying 2(4b + -6) + 6(-3 + -2b) = 6 + -4b + 4 + -5b Reorder the terms: 2(-6 + 4b) + 6(-3 + -2b) = 6 + -4b + 4 + -5b (-6 * 2 + 4b * 2) + 6(-3 + -2b) = 6 + -4b + 4 + -5b (-12 + 8b) + 6(-3 + -2b) = 6 + -4b + 4 + -5b -12 + 8b + (-3 * 6 + -2b * 6) = 6 + -4b + 4 + -5b -12 + 8b + (-18 + -12b) = 6 + -4b + 4 + -5b Reorder the terms: -12 + -18 + 8b + -12b = 6 + -4b + 4 + -5b Combine like terms: -12 + -18 = -30 -30 + 8b + -12b = 6 + -4b + 4 + -5b Combine like terms: 8b + -12b = -4b -30 + -4b = 6 + -4b + 4 + -5b Reorder the terms: -30 + -4b = 6 + 4 + -4b + -5b Combine like terms: 6 + 4 = 10 -30 + -4b = 10 + -4b + -5b Combine like terms: -4b + -5b = -9b -30 + -4b = 10 + -9b Solving -30 + -4b = 10 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -30 + -4b + 9b = 10 + -9b + 9b Combine like terms: -4b + 9b = 5b -30 + 5b = 10 + -9b + 9b Combine like terms: -9b + 9b = 0 -30 + 5b = 10 + 0 -30 + 5b = 10 Add '30' to each side of the equation. -30 + 30 + 5b = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 5b = 10 + 30 5b = 10 + 30 Combine like terms: 10 + 30 = 40 5b = 40 Divide each side by '5'. b = 8 Simplifying b = 8
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