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Simplifying 3(6b + -1) = 18 + -3b Reorder the terms: 3(-1 + 6b) = 18 + -3b (-1 * 3 + 6b * 3) = 18 + -3b (-3 + 18b) = 18 + -3b Solving -3 + 18b = 18 + -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. -3 + 18b + 3b = 18 + -3b + 3b Combine like terms: 18b + 3b = 21b -3 + 21b = 18 + -3b + 3b Combine like terms: -3b + 3b = 0 -3 + 21b = 18 + 0 -3 + 21b = 18 Add '3' to each side of the equation. -3 + 3 + 21b = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 21b = 18 + 3 21b = 18 + 3 Combine like terms: 18 + 3 = 21 21b = 21 Divide each side by '21'. b = 1 Simplifying b = 1
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