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Simplifying 7(b + 3) + -18(1 + -1b) = 103 Reorder the terms: 7(3 + b) + -18(1 + -1b) = 103 (3 * 7 + b * 7) + -18(1 + -1b) = 103 (21 + 7b) + -18(1 + -1b) = 103 21 + 7b + (1 * -18 + -1b * -18) = 103 21 + 7b + (-18 + 18b) = 103 Reorder the terms: 21 + -18 + 7b + 18b = 103 Combine like terms: 21 + -18 = 3 3 + 7b + 18b = 103 Combine like terms: 7b + 18b = 25b 3 + 25b = 103 Solving 3 + 25b = 103 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 25b = 103 + -3 Combine like terms: 3 + -3 = 0 0 + 25b = 103 + -3 25b = 103 + -3 Combine like terms: 103 + -3 = 100 25b = 100 Divide each side by '25'. b = 4 Simplifying b = 4
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