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Simplifying 5(a + 2) + 3 = 3(10 + -3a) Reorder the terms: 5(2 + a) + 3 = 3(10 + -3a) (2 * 5 + a * 5) + 3 = 3(10 + -3a) (10 + 5a) + 3 = 3(10 + -3a) Reorder the terms: 10 + 3 + 5a = 3(10 + -3a) Combine like terms: 10 + 3 = 13 13 + 5a = 3(10 + -3a) 13 + 5a = (10 * 3 + -3a * 3) 13 + 5a = (30 + -9a) Solving 13 + 5a = 30 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 13 + 5a + 9a = 30 + -9a + 9a Combine like terms: 5a + 9a = 14a 13 + 14a = 30 + -9a + 9a Combine like terms: -9a + 9a = 0 13 + 14a = 30 + 0 13 + 14a = 30 Add '-13' to each side of the equation. 13 + -13 + 14a = 30 + -13 Combine like terms: 13 + -13 = 0 0 + 14a = 30 + -13 14a = 30 + -13 Combine like terms: 30 + -13 = 17 14a = 17 Divide each side by '14'. a = 1.214285714 Simplifying a = 1.214285714
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