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Simplifying 3a + 2(5a + -2) = 100 Reorder the terms: 3a + 2(-2 + 5a) = 100 3a + (-2 * 2 + 5a * 2) = 100 3a + (-4 + 10a) = 100 Reorder the terms: -4 + 3a + 10a = 100 Combine like terms: 3a + 10a = 13a -4 + 13a = 100 Solving -4 + 13a = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 13a = 100 + 4 Combine like terms: -4 + 4 = 0 0 + 13a = 100 + 4 13a = 100 + 4 Combine like terms: 100 + 4 = 104 13a = 104 Divide each side by '13'. a = 8 Simplifying a = 8
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