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Simplifying 18 + -1(2a + -5) + -2(a + 2) = 3a + 5 Reorder the terms: 18 + -1(-5 + 2a) + -2(a + 2) = 3a + 5 18 + (-5 * -1 + 2a * -1) + -2(a + 2) = 3a + 5 18 + (5 + -2a) + -2(a + 2) = 3a + 5 Reorder the terms: 18 + 5 + -2a + -2(2 + a) = 3a + 5 18 + 5 + -2a + (2 * -2 + a * -2) = 3a + 5 18 + 5 + -2a + (-4 + -2a) = 3a + 5 Reorder the terms: 18 + 5 + -4 + -2a + -2a = 3a + 5 Combine like terms: 18 + 5 = 23 23 + -4 + -2a + -2a = 3a + 5 Combine like terms: 23 + -4 = 19 19 + -2a + -2a = 3a + 5 Combine like terms: -2a + -2a = -4a 19 + -4a = 3a + 5 Reorder the terms: 19 + -4a = 5 + 3a Solving 19 + -4a = 5 + 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. 19 + -4a + -3a = 5 + 3a + -3a Combine like terms: -4a + -3a = -7a 19 + -7a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 19 + -7a = 5 + 0 19 + -7a = 5 Add '-19' to each side of the equation. 19 + -19 + -7a = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -7a = 5 + -19 -7a = 5 + -19 Combine like terms: 5 + -19 = -14 -7a = -14 Divide each side by '-7'. a = 2 Simplifying a = 2
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