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Simplifying 10a + -3 = 2(4a + 5) Reorder the terms: -3 + 10a = 2(4a + 5) Reorder the terms: -3 + 10a = 2(5 + 4a) -3 + 10a = (5 * 2 + 4a * 2) -3 + 10a = (10 + 8a) Solving -3 + 10a = 10 + 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. -3 + 10a + -8a = 10 + 8a + -8a Combine like terms: 10a + -8a = 2a -3 + 2a = 10 + 8a + -8a Combine like terms: 8a + -8a = 0 -3 + 2a = 10 + 0 -3 + 2a = 10 Add '3' to each side of the equation. -3 + 3 + 2a = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 10 + 3 2a = 10 + 3 Combine like terms: 10 + 3 = 13 2a = 13 Divide each side by '2'. a = 6.5 Simplifying a = 6.5
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