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Simplifying 6(a + -3) + 5(a + -2) = 4 Reorder the terms: 6(-3 + a) + 5(a + -2) = 4 (-3 * 6 + a * 6) + 5(a + -2) = 4 (-18 + 6a) + 5(a + -2) = 4 Reorder the terms: -18 + 6a + 5(-2 + a) = 4 -18 + 6a + (-2 * 5 + a * 5) = 4 -18 + 6a + (-10 + 5a) = 4 Reorder the terms: -18 + -10 + 6a + 5a = 4 Combine like terms: -18 + -10 = -28 -28 + 6a + 5a = 4 Combine like terms: 6a + 5a = 11a -28 + 11a = 4 Solving -28 + 11a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 11a = 4 + 28 Combine like terms: -28 + 28 = 0 0 + 11a = 4 + 28 11a = 4 + 28 Combine like terms: 4 + 28 = 32 11a = 32 Divide each side by '11'. a = 2.909090909 Simplifying a = 2.909090909
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