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Simplifying 13 + -2(2a + 5) = 6a + 15 Reorder the terms: 13 + -2(5 + 2a) = 6a + 15 13 + (5 * -2 + 2a * -2) = 6a + 15 13 + (-10 + -4a) = 6a + 15 Combine like terms: 13 + -10 = 3 3 + -4a = 6a + 15 Reorder the terms: 3 + -4a = 15 + 6a Solving 3 + -4a = 15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 3 + -4a + -6a = 15 + 6a + -6a Combine like terms: -4a + -6a = -10a 3 + -10a = 15 + 6a + -6a Combine like terms: 6a + -6a = 0 3 + -10a = 15 + 0 3 + -10a = 15 Add '-3' to each side of the equation. 3 + -3 + -10a = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -10a = 15 + -3 -10a = 15 + -3 Combine like terms: 15 + -3 = 12 -10a = 12 Divide each side by '-10'. a = -1.2 Simplifying a = -1.2
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