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Simplifying 6(2b + -8) + -9b = 6(3 + b) + 3b Reorder the terms: 6(-8 + 2b) + -9b = 6(3 + b) + 3b (-8 * 6 + 2b * 6) + -9b = 6(3 + b) + 3b (-48 + 12b) + -9b = 6(3 + b) + 3b Combine like terms: 12b + -9b = 3b -48 + 3b = 6(3 + b) + 3b -48 + 3b = (3 * 6 + b * 6) + 3b -48 + 3b = (18 + 6b) + 3b Combine like terms: 6b + 3b = 9b -48 + 3b = 18 + 9b Solving -48 + 3b = 18 + 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. -48 + 3b + -9b = 18 + 9b + -9b Combine like terms: 3b + -9b = -6b -48 + -6b = 18 + 9b + -9b Combine like terms: 9b + -9b = 0 -48 + -6b = 18 + 0 -48 + -6b = 18 Add '48' to each side of the equation. -48 + 48 + -6b = 18 + 48 Combine like terms: -48 + 48 = 0 0 + -6b = 18 + 48 -6b = 18 + 48 Combine like terms: 18 + 48 = 66 -6b = 66 Divide each side by '-6'. b = -11 Simplifying b = -11
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