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Simplifying 3(a + 1) + (5 + -1b) + (10 + -1c) = 36 Reorder the terms: 3(1 + a) + (5 + -1b) + (10 + -1c) = 36 (1 * 3 + a * 3) + (5 + -1b) + (10 + -1c) = 36 (3 + 3a) + (5 + -1b) + (10 + -1c) = 36 Remove parenthesis around (5 + -1b) 3 + 3a + 5 + -1b + (10 + -1c) = 36 Remove parenthesis around (10 + -1c) 3 + 3a + 5 + -1b + 10 + -1c = 36 Reorder the terms: 3 + 5 + 10 + 3a + -1b + -1c = 36 Combine like terms: 3 + 5 = 8 8 + 10 + 3a + -1b + -1c = 36 Combine like terms: 8 + 10 = 18 18 + 3a + -1b + -1c = 36 Solving 18 + 3a + -1b + -1c = 36 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 3a + -1b + -18 + -1c = 36 + -18 Reorder the terms: 18 + -18 + 3a + -1b + -1c = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 3a + -1b + -1c = 36 + -18 3a + -1b + -1c = 36 + -18 Combine like terms: 36 + -18 = 18 3a + -1b + -1c = 18 Add 'b' to each side of the equation. 3a + -1b + b + -1c = 18 + b Combine like terms: -1b + b = 0 3a + 0 + -1c = 18 + b 3a + -1c = 18 + b Add 'c' to each side of the equation. 3a + -1c + c = 18 + b + c Combine like terms: -1c + c = 0 3a + 0 = 18 + b + c 3a = 18 + b + c Divide each side by '3'. a = 6 + 0.3333333333b + 0.3333333333c Simplifying a = 6 + 0.3333333333b + 0.3333333333c
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