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Simplifying 10 + -6b = -2 + 3(8b + 4) Reorder the terms: 10 + -6b = -2 + 3(4 + 8b) 10 + -6b = -2 + (4 * 3 + 8b * 3) 10 + -6b = -2 + (12 + 24b) Combine like terms: -2 + 12 = 10 10 + -6b = 10 + 24b Add '-10' to each side of the equation. 10 + -10 + -6b = 10 + -10 + 24b Combine like terms: 10 + -10 = 0 0 + -6b = 10 + -10 + 24b -6b = 10 + -10 + 24b Combine like terms: 10 + -10 = 0 -6b = 0 + 24b -6b = 24b Solving -6b = 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. -6b + -24b = 24b + -24b Combine like terms: -6b + -24b = -30b -30b = 24b + -24b Combine like terms: 24b + -24b = 0 -30b = 0 Divide each side by '-30'. b = 0.0 Simplifying b = 0.0
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