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Simplifying 8b + -8 = -6(b + -3) + 6(1 + 2b) Reorder the terms: -8 + 8b = -6(b + -3) + 6(1 + 2b) Reorder the terms: -8 + 8b = -6(-3 + b) + 6(1 + 2b) -8 + 8b = (-3 * -6 + b * -6) + 6(1 + 2b) -8 + 8b = (18 + -6b) + 6(1 + 2b) -8 + 8b = 18 + -6b + (1 * 6 + 2b * 6) -8 + 8b = 18 + -6b + (6 + 12b) Reorder the terms: -8 + 8b = 18 + 6 + -6b + 12b Combine like terms: 18 + 6 = 24 -8 + 8b = 24 + -6b + 12b Combine like terms: -6b + 12b = 6b -8 + 8b = 24 + 6b Solving -8 + 8b = 24 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -8 + 8b + -6b = 24 + 6b + -6b Combine like terms: 8b + -6b = 2b -8 + 2b = 24 + 6b + -6b Combine like terms: 6b + -6b = 0 -8 + 2b = 24 + 0 -8 + 2b = 24 Add '8' to each side of the equation. -8 + 8 + 2b = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 2b = 24 + 8 2b = 24 + 8 Combine like terms: 24 + 8 = 32 2b = 32 Divide each side by '2'. b = 16 Simplifying b = 16
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