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Simplifying 2 + 5(2a + 3) = 4 + -2a Reorder the terms: 2 + 5(3 + 2a) = 4 + -2a 2 + (3 * 5 + 2a * 5) = 4 + -2a 2 + (15 + 10a) = 4 + -2a Combine like terms: 2 + 15 = 17 17 + 10a = 4 + -2a Solving 17 + 10a = 4 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 17 + 10a + 2a = 4 + -2a + 2a Combine like terms: 10a + 2a = 12a 17 + 12a = 4 + -2a + 2a Combine like terms: -2a + 2a = 0 17 + 12a = 4 + 0 17 + 12a = 4 Add '-17' to each side of the equation. 17 + -17 + 12a = 4 + -17 Combine like terms: 17 + -17 = 0 0 + 12a = 4 + -17 12a = 4 + -17 Combine like terms: 4 + -17 = -13 12a = -13 Divide each side by '12'. a = -1.083333333 Simplifying a = -1.083333333
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