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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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