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Simplifying 5(5a + 3) = 14a + -2a Reorder the terms: 5(3 + 5a) = 14a + -2a (3 * 5 + 5a * 5) = 14a + -2a (15 + 25a) = 14a + -2a Combine like terms: 14a + -2a = 12a 15 + 25a = 12a Solving 15 + 25a = 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 15 + 25a + -12a = 12a + -12a Combine like terms: 25a + -12a = 13a 15 + 13a = 12a + -12a Combine like terms: 12a + -12a = 0 15 + 13a = 0 Add '-15' to each side of the equation. 15 + -15 + 13a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 13a = 0 + -15 13a = 0 + -15 Combine like terms: 0 + -15 = -15 13a = -15 Divide each side by '13'. a = -1.153846154 Simplifying a = -1.153846154
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