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Simplifying 2(a + 5) = 94 + -10a Reorder the terms: 2(5 + a) = 94 + -10a (5 * 2 + a * 2) = 94 + -10a (10 + 2a) = 94 + -10a Solving 10 + 2a = 94 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 10 + 2a + 10a = 94 + -10a + 10a Combine like terms: 2a + 10a = 12a 10 + 12a = 94 + -10a + 10a Combine like terms: -10a + 10a = 0 10 + 12a = 94 + 0 10 + 12a = 94 Add '-10' to each side of the equation. 10 + -10 + 12a = 94 + -10 Combine like terms: 10 + -10 = 0 0 + 12a = 94 + -10 12a = 94 + -10 Combine like terms: 94 + -10 = 84 12a = 84 Divide each side by '12'. a = 7 Simplifying a = 7
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