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Simplifying 10(a + 1) = 5a + 50 Reorder the terms: 10(1 + a) = 5a + 50 (1 * 10 + a * 10) = 5a + 50 (10 + 10a) = 5a + 50 Reorder the terms: 10 + 10a = 50 + 5a Solving 10 + 10a = 50 + 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 = 50 + 5a + -5a Combine like terms: 10a + -5a = 5a 10 + 5a = 50 + 5a + -5a Combine like terms: 5a + -5a = 0 10 + 5a = 50 + 0 10 + 5a = 50 Add '-10' to each side of the equation. 10 + -10 + 5a = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = 50 + -10 5a = 50 + -10 Combine like terms: 50 + -10 = 40 5a = 40 Divide each side by '5'. a = 8 Simplifying a = 8
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