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Simplifying 4(3 + -1b) + 2 = 30 (3 * 4 + -1b * 4) + 2 = 30 (12 + -4b) + 2 = 30 Reorder the terms: 12 + 2 + -4b = 30 Combine like terms: 12 + 2 = 14 14 + -4b = 30 Solving 14 + -4b = 30 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -4b = 30 + -14 Combine like terms: 14 + -14 = 0 0 + -4b = 30 + -14 -4b = 30 + -14 Combine like terms: 30 + -14 = 16 -4b = 16 Divide each side by '-4'. b = -4 Simplifying b = -4
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