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Simplifying 4a + -2(5 + a) = 2 + 5a 4a + (5 * -2 + a * -2) = 2 + 5a 4a + (-10 + -2a) = 2 + 5a Reorder the terms: -10 + 4a + -2a = 2 + 5a Combine like terms: 4a + -2a = 2a -10 + 2a = 2 + 5a Solving -10 + 2a = 2 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -10 + 2a + -5a = 2 + 5a + -5a Combine like terms: 2a + -5a = -3a -10 + -3a = 2 + 5a + -5a Combine like terms: 5a + -5a = 0 -10 + -3a = 2 + 0 -10 + -3a = 2 Add '10' to each side of the equation. -10 + 10 + -3a = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -3a = 2 + 10 -3a = 2 + 10 Combine like terms: 2 + 10 = 12 -3a = 12 Divide each side by '-3'. a = -4 Simplifying a = -4
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