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Simplifying 3(a + -2) + -5(a + -3) = 17 Reorder the terms: 3(-2 + a) + -5(a + -3) = 17 (-2 * 3 + a * 3) + -5(a + -3) = 17 (-6 + 3a) + -5(a + -3) = 17 Reorder the terms: -6 + 3a + -5(-3 + a) = 17 -6 + 3a + (-3 * -5 + a * -5) = 17 -6 + 3a + (15 + -5a) = 17 Reorder the terms: -6 + 15 + 3a + -5a = 17 Combine like terms: -6 + 15 = 9 9 + 3a + -5a = 17 Combine like terms: 3a + -5a = -2a 9 + -2a = 17 Solving 9 + -2a = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2a = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -2a = 17 + -9 -2a = 17 + -9 Combine like terms: 17 + -9 = 8 -2a = 8 Divide each side by '-2'. a = -4 Simplifying a = -4
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