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Simplifying 282 = 3(10b + 4) Reorder the terms: 282 = 3(4 + 10b) 282 = (4 * 3 + 10b * 3) 282 = (12 + 30b) Solving 282 = 12 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. 282 + -30b = 12 + 30b + -30b Combine like terms: 30b + -30b = 0 282 + -30b = 12 + 0 282 + -30b = 12 Add '-282' to each side of the equation. 282 + -282 + -30b = 12 + -282 Combine like terms: 282 + -282 = 0 0 + -30b = 12 + -282 -30b = 12 + -282 Combine like terms: 12 + -282 = -270 -30b = -270 Divide each side by '-30'. b = 9 Simplifying b = 9
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