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Simplifying 2(3a + 102) + -4a = 5a Reorder the terms: 2(102 + 3a) + -4a = 5a (102 * 2 + 3a * 2) + -4a = 5a (204 + 6a) + -4a = 5a Combine like terms: 6a + -4a = 2a 204 + 2a = 5a Solving 204 + 2a = 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. 204 + 2a + -5a = 5a + -5a Combine like terms: 2a + -5a = -3a 204 + -3a = 5a + -5a Combine like terms: 5a + -5a = 0 204 + -3a = 0 Add '-204' to each side of the equation. 204 + -204 + -3a = 0 + -204 Combine like terms: 204 + -204 = 0 0 + -3a = 0 + -204 -3a = 0 + -204 Combine like terms: 0 + -204 = -204 -3a = -204 Divide each side by '-3'. a = 68 Simplifying a = 68
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