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Simplifying -5(2 + -2a) = 30 + 5a (2 * -5 + -2a * -5) = 30 + 5a (-10 + 10a) = 30 + 5a Solving -10 + 10a = 30 + 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 + 10a + -5a = 30 + 5a + -5a Combine like terms: 10a + -5a = 5a -10 + 5a = 30 + 5a + -5a Combine like terms: 5a + -5a = 0 -10 + 5a = 30 + 0 -10 + 5a = 30 Add '10' to each side of the equation. -10 + 10 + 5a = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 5a = 30 + 10 5a = 30 + 10 Combine like terms: 30 + 10 = 40 5a = 40 Divide each side by '5'. a = 8 Simplifying a = 8
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