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Simplifying 5(a + 2) = 2a + -11 Reorder the terms: 5(2 + a) = 2a + -11 (2 * 5 + a * 5) = 2a + -11 (10 + 5a) = 2a + -11 Reorder the terms: 10 + 5a = -11 + 2a Solving 10 + 5a = -11 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 10 + 5a + -2a = -11 + 2a + -2a Combine like terms: 5a + -2a = 3a 10 + 3a = -11 + 2a + -2a Combine like terms: 2a + -2a = 0 10 + 3a = -11 + 0 10 + 3a = -11 Add '-10' to each side of the equation. 10 + -10 + 3a = -11 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = -11 + -10 3a = -11 + -10 Combine like terms: -11 + -10 = -21 3a = -21 Divide each side by '3'. a = -7 Simplifying a = -7
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