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Simplifying 83 = 3(6b + 5) + -4 Reorder the terms: 83 = 3(5 + 6b) + -4 83 = (5 * 3 + 6b * 3) + -4 83 = (15 + 18b) + -4 Reorder the terms: 83 = 15 + -4 + 18b Combine like terms: 15 + -4 = 11 83 = 11 + 18b Solving 83 = 11 + 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. 83 + -18b = 11 + 18b + -18b Combine like terms: 18b + -18b = 0 83 + -18b = 11 + 0 83 + -18b = 11 Add '-83' to each side of the equation. 83 + -83 + -18b = 11 + -83 Combine like terms: 83 + -83 = 0 0 + -18b = 11 + -83 -18b = 11 + -83 Combine like terms: 11 + -83 = -72 -18b = -72 Divide each side by '-18'. b = 4 Simplifying b = 4
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