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Simplifying 6(3a + -1) + 2(a + -3) + -3(a + 9) = 73 Reorder the terms: 6(-1 + 3a) + 2(a + -3) + -3(a + 9) = 73 (-1 * 6 + 3a * 6) + 2(a + -3) + -3(a + 9) = 73 (-6 + 18a) + 2(a + -3) + -3(a + 9) = 73 Reorder the terms: -6 + 18a + 2(-3 + a) + -3(a + 9) = 73 -6 + 18a + (-3 * 2 + a * 2) + -3(a + 9) = 73 -6 + 18a + (-6 + 2a) + -3(a + 9) = 73 Reorder the terms: -6 + 18a + -6 + 2a + -3(9 + a) = 73 -6 + 18a + -6 + 2a + (9 * -3 + a * -3) = 73 -6 + 18a + -6 + 2a + (-27 + -3a) = 73 Reorder the terms: -6 + -6 + -27 + 18a + 2a + -3a = 73 Combine like terms: -6 + -6 = -12 -12 + -27 + 18a + 2a + -3a = 73 Combine like terms: -12 + -27 = -39 -39 + 18a + 2a + -3a = 73 Combine like terms: 18a + 2a = 20a -39 + 20a + -3a = 73 Combine like terms: 20a + -3a = 17a -39 + 17a = 73 Solving -39 + 17a = 73 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 17a = 73 + 39 Combine like terms: -39 + 39 = 0 0 + 17a = 73 + 39 17a = 73 + 39 Combine like terms: 73 + 39 = 112 17a = 112 Divide each side by '17'. a = 6.588235294 Simplifying a = 6.588235294
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