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Simplifying 4(a + -2) + -6(a + 3) = 9 Reorder the terms: 4(-2 + a) + -6(a + 3) = 9 (-2 * 4 + a * 4) + -6(a + 3) = 9 (-8 + 4a) + -6(a + 3) = 9 Reorder the terms: -8 + 4a + -6(3 + a) = 9 -8 + 4a + (3 * -6 + a * -6) = 9 -8 + 4a + (-18 + -6a) = 9 Reorder the terms: -8 + -18 + 4a + -6a = 9 Combine like terms: -8 + -18 = -26 -26 + 4a + -6a = 9 Combine like terms: 4a + -6a = -2a -26 + -2a = 9 Solving -26 + -2a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -2a = 9 + 26 Combine like terms: -26 + 26 = 0 0 + -2a = 9 + 26 -2a = 9 + 26 Combine like terms: 9 + 26 = 35 -2a = 35 Divide each side by '-2'. a = -17.5 Simplifying a = -17.5
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