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Simplifying 5(2a + -6) + 2(4a + 3) = 8a + -9 Reorder the terms: 5(-6 + 2a) + 2(4a + 3) = 8a + -9 (-6 * 5 + 2a * 5) + 2(4a + 3) = 8a + -9 (-30 + 10a) + 2(4a + 3) = 8a + -9 Reorder the terms: -30 + 10a + 2(3 + 4a) = 8a + -9 -30 + 10a + (3 * 2 + 4a * 2) = 8a + -9 -30 + 10a + (6 + 8a) = 8a + -9 Reorder the terms: -30 + 6 + 10a + 8a = 8a + -9 Combine like terms: -30 + 6 = -24 -24 + 10a + 8a = 8a + -9 Combine like terms: 10a + 8a = 18a -24 + 18a = 8a + -9 Reorder the terms: -24 + 18a = -9 + 8a Solving -24 + 18a = -9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -24 + 18a + -8a = -9 + 8a + -8a Combine like terms: 18a + -8a = 10a -24 + 10a = -9 + 8a + -8a Combine like terms: 8a + -8a = 0 -24 + 10a = -9 + 0 -24 + 10a = -9 Add '24' to each side of the equation. -24 + 24 + 10a = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 10a = -9 + 24 10a = -9 + 24 Combine like terms: -9 + 24 = 15 10a = 15 Divide each side by '10'. a = 1.5 Simplifying a = 1.5
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