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Simplifying 10(1 + 3b) + -2 = -22 (1 * 10 + 3b * 10) + -2 = -22 (10 + 30b) + -2 = -22 Reorder the terms: 10 + -2 + 30b = -22 Combine like terms: 10 + -2 = 8 8 + 30b = -22 Solving 8 + 30b = -22 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 30b = -22 + -8 Combine like terms: 8 + -8 = 0 0 + 30b = -22 + -8 30b = -22 + -8 Combine like terms: -22 + -8 = -30 30b = -30 Divide each side by '30'. b = -1 Simplifying b = -1
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