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Simplifying 5(a + 2) + -2(a + 3) = 6a + -11 Reorder the terms: 5(2 + a) + -2(a + 3) = 6a + -11 (2 * 5 + a * 5) + -2(a + 3) = 6a + -11 (10 + 5a) + -2(a + 3) = 6a + -11 Reorder the terms: 10 + 5a + -2(3 + a) = 6a + -11 10 + 5a + (3 * -2 + a * -2) = 6a + -11 10 + 5a + (-6 + -2a) = 6a + -11 Reorder the terms: 10 + -6 + 5a + -2a = 6a + -11 Combine like terms: 10 + -6 = 4 4 + 5a + -2a = 6a + -11 Combine like terms: 5a + -2a = 3a 4 + 3a = 6a + -11 Reorder the terms: 4 + 3a = -11 + 6a Solving 4 + 3a = -11 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 4 + 3a + -6a = -11 + 6a + -6a Combine like terms: 3a + -6a = -3a 4 + -3a = -11 + 6a + -6a Combine like terms: 6a + -6a = 0 4 + -3a = -11 + 0 4 + -3a = -11 Add '-4' to each side of the equation. 4 + -4 + -3a = -11 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = -11 + -4 -3a = -11 + -4 Combine like terms: -11 + -4 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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