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Simplifying 12(b + -3) = (b + 10) + 2 Reorder the terms: 12(-3 + b) = (b + 10) + 2 (-3 * 12 + b * 12) = (b + 10) + 2 (-36 + 12b) = (b + 10) + 2 Reorder the terms: -36 + 12b = (10 + b) + 2 Remove parenthesis around (10 + b) -36 + 12b = 10 + b + 2 Reorder the terms: -36 + 12b = 10 + 2 + b Combine like terms: 10 + 2 = 12 -36 + 12b = 12 + b Solving -36 + 12b = 12 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -36 + 12b + -1b = 12 + b + -1b Combine like terms: 12b + -1b = 11b -36 + 11b = 12 + b + -1b Combine like terms: b + -1b = 0 -36 + 11b = 12 + 0 -36 + 11b = 12 Add '36' to each side of the equation. -36 + 36 + 11b = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 11b = 12 + 36 11b = 12 + 36 Combine like terms: 12 + 36 = 48 11b = 48 Divide each side by '11'. b = 4.363636364 Simplifying b = 4.363636364
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