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Simplifying 5(3a + 1) + 2(a + -12) = 15 Reorder the terms: 5(1 + 3a) + 2(a + -12) = 15 (1 * 5 + 3a * 5) + 2(a + -12) = 15 (5 + 15a) + 2(a + -12) = 15 Reorder the terms: 5 + 15a + 2(-12 + a) = 15 5 + 15a + (-12 * 2 + a * 2) = 15 5 + 15a + (-24 + 2a) = 15 Reorder the terms: 5 + -24 + 15a + 2a = 15 Combine like terms: 5 + -24 = -19 -19 + 15a + 2a = 15 Combine like terms: 15a + 2a = 17a -19 + 17a = 15 Solving -19 + 17a = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 17a = 15 + 19 Combine like terms: -19 + 19 = 0 0 + 17a = 15 + 19 17a = 15 + 19 Combine like terms: 15 + 19 = 34 17a = 34 Divide each side by '17'. a = 2 Simplifying a = 2
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