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Simplifying 38 = 5(3b + -3) + 3b + 1 Reorder the terms: 38 = 5(-3 + 3b) + 3b + 1 38 = (-3 * 5 + 3b * 5) + 3b + 1 38 = (-15 + 15b) + 3b + 1 Reorder the terms: 38 = -15 + 1 + 15b + 3b Combine like terms: -15 + 1 = -14 38 = -14 + 15b + 3b Combine like terms: 15b + 3b = 18b 38 = -14 + 18b Solving 38 = -14 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 38 + -18b = -14 + 18b + -18b Combine like terms: 18b + -18b = 0 38 + -18b = -14 + 0 38 + -18b = -14 Add '-38' to each side of the equation. 38 + -38 + -18b = -14 + -38 Combine like terms: 38 + -38 = 0 0 + -18b = -14 + -38 -18b = -14 + -38 Combine like terms: -14 + -38 = -52 -18b = -52 Divide each side by '-18'. b = 2.888888889 Simplifying b = 2.888888889
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