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Simplifying 3(b + -22) = 20 + -2(b + -2) Reorder the terms: 3(-22 + b) = 20 + -2(b + -2) (-22 * 3 + b * 3) = 20 + -2(b + -2) (-66 + 3b) = 20 + -2(b + -2) Reorder the terms: -66 + 3b = 20 + -2(-2 + b) -66 + 3b = 20 + (-2 * -2 + b * -2) -66 + 3b = 20 + (4 + -2b) Combine like terms: 20 + 4 = 24 -66 + 3b = 24 + -2b Solving -66 + 3b = 24 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -66 + 3b + 2b = 24 + -2b + 2b Combine like terms: 3b + 2b = 5b -66 + 5b = 24 + -2b + 2b Combine like terms: -2b + 2b = 0 -66 + 5b = 24 + 0 -66 + 5b = 24 Add '66' to each side of the equation. -66 + 66 + 5b = 24 + 66 Combine like terms: -66 + 66 = 0 0 + 5b = 24 + 66 5b = 24 + 66 Combine like terms: 24 + 66 = 90 5b = 90 Divide each side by '5'. b = 18 Simplifying b = 18
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