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Simplifying 5(2a + -3) + -6(a + 2) = -17 Reorder the terms: 5(-3 + 2a) + -6(a + 2) = -17 (-3 * 5 + 2a * 5) + -6(a + 2) = -17 (-15 + 10a) + -6(a + 2) = -17 Reorder the terms: -15 + 10a + -6(2 + a) = -17 -15 + 10a + (2 * -6 + a * -6) = -17 -15 + 10a + (-12 + -6a) = -17 Reorder the terms: -15 + -12 + 10a + -6a = -17 Combine like terms: -15 + -12 = -27 -27 + 10a + -6a = -17 Combine like terms: 10a + -6a = 4a -27 + 4a = -17 Solving -27 + 4a = -17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 4a = -17 + 27 Combine like terms: -27 + 27 = 0 0 + 4a = -17 + 27 4a = -17 + 27 Combine like terms: -17 + 27 = 10 4a = 10 Divide each side by '4'. a = 2.5 Simplifying a = 2.5
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