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Simplifying 17a + -5(a + 1) = 3(a + 2) Reorder the terms: 17a + -5(1 + a) = 3(a + 2) 17a + (1 * -5 + a * -5) = 3(a + 2) 17a + (-5 + -5a) = 3(a + 2) Reorder the terms: -5 + 17a + -5a = 3(a + 2) Combine like terms: 17a + -5a = 12a -5 + 12a = 3(a + 2) Reorder the terms: -5 + 12a = 3(2 + a) -5 + 12a = (2 * 3 + a * 3) -5 + 12a = (6 + 3a) Solving -5 + 12a = 6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + 12a + -3a = 6 + 3a + -3a Combine like terms: 12a + -3a = 9a -5 + 9a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 9a = 6 + 0 -5 + 9a = 6 Add '5' to each side of the equation. -5 + 5 + 9a = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 9a = 6 + 5 9a = 6 + 5 Combine like terms: 6 + 5 = 11 9a = 11 Divide each side by '9'. a = 1.222222222 Simplifying a = 1.222222222
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