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Simplifying 3(4b + 6) = -2b + -38 Reorder the terms: 3(6 + 4b) = -2b + -38 (6 * 3 + 4b * 3) = -2b + -38 (18 + 12b) = -2b + -38 Reorder the terms: 18 + 12b = -38 + -2b Solving 18 + 12b = -38 + -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. 18 + 12b + 2b = -38 + -2b + 2b Combine like terms: 12b + 2b = 14b 18 + 14b = -38 + -2b + 2b Combine like terms: -2b + 2b = 0 18 + 14b = -38 + 0 18 + 14b = -38 Add '-18' to each side of the equation. 18 + -18 + 14b = -38 + -18 Combine like terms: 18 + -18 = 0 0 + 14b = -38 + -18 14b = -38 + -18 Combine like terms: -38 + -18 = -56 14b = -56 Divide each side by '14'. b = -4 Simplifying b = -4
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