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Simplifying 5(10 + a) = 30 + -4a (10 * 5 + a * 5) = 30 + -4a (50 + 5a) = 30 + -4a Solving 50 + 5a = 30 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 50 + 5a + 4a = 30 + -4a + 4a Combine like terms: 5a + 4a = 9a 50 + 9a = 30 + -4a + 4a Combine like terms: -4a + 4a = 0 50 + 9a = 30 + 0 50 + 9a = 30 Add '-50' to each side of the equation. 50 + -50 + 9a = 30 + -50 Combine like terms: 50 + -50 = 0 0 + 9a = 30 + -50 9a = 30 + -50 Combine like terms: 30 + -50 = -20 9a = -20 Divide each side by '9'. a = -2.222222222 Simplifying a = -2.222222222
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