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Simplifying 10(b + -2) = 3b + 8 Reorder the terms: 10(-2 + b) = 3b + 8 (-2 * 10 + b * 10) = 3b + 8 (-20 + 10b) = 3b + 8 Reorder the terms: -20 + 10b = 8 + 3b Solving -20 + 10b = 8 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -20 + 10b + -3b = 8 + 3b + -3b Combine like terms: 10b + -3b = 7b -20 + 7b = 8 + 3b + -3b Combine like terms: 3b + -3b = 0 -20 + 7b = 8 + 0 -20 + 7b = 8 Add '20' to each side of the equation. -20 + 20 + 7b = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 7b = 8 + 20 7b = 8 + 20 Combine like terms: 8 + 20 = 28 7b = 28 Divide each side by '7'. b = 4 Simplifying b = 4
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