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Simplifying 10 + -3 = 2(4a + 5) Combine like terms: 10 + -3 = 7 7 = 2(4a + 5) Reorder the terms: 7 = 2(5 + 4a) 7 = (5 * 2 + 4a * 2) 7 = (10 + 8a) Solving 7 = 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. 7 + -8a = 10 + 8a + -8a Combine like terms: 8a + -8a = 0 7 + -8a = 10 + 0 7 + -8a = 10 Add '-7' to each side of the equation. 7 + -7 + -8a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -8a = 10 + -7 -8a = 10 + -7 Combine like terms: 10 + -7 = 3 -8a = 3 Divide each side by '-8'. a = -0.375 Simplifying a = -0.375
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