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Simplifying 15a + -2(4a + 5) = 6a Reorder the terms: 15a + -2(5 + 4a) = 6a 15a + (5 * -2 + 4a * -2) = 6a 15a + (-10 + -8a) = 6a Reorder the terms: -10 + 15a + -8a = 6a Combine like terms: 15a + -8a = 7a -10 + 7a = 6a Solving -10 + 7a = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -10 + 7a + -6a = 6a + -6a Combine like terms: 7a + -6a = 1a -10 + 1a = 6a + -6a Combine like terms: 6a + -6a = 0 -10 + 1a = 0 Add '10' to each side of the equation. -10 + 10 + 1a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1a = 0 + 10 1a = 0 + 10 Combine like terms: 0 + 10 = 10 1a = 10 Divide each side by '1'. a = 10 Simplifying a = 10
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