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Simplifying 3(a + -2) + 18(a + -3) = -8 Reorder the terms: 3(-2 + a) + 18(a + -3) = -8 (-2 * 3 + a * 3) + 18(a + -3) = -8 (-6 + 3a) + 18(a + -3) = -8 Reorder the terms: -6 + 3a + 18(-3 + a) = -8 -6 + 3a + (-3 * 18 + a * 18) = -8 -6 + 3a + (-54 + 18a) = -8 Reorder the terms: -6 + -54 + 3a + 18a = -8 Combine like terms: -6 + -54 = -60 -60 + 3a + 18a = -8 Combine like terms: 3a + 18a = 21a -60 + 21a = -8 Solving -60 + 21a = -8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 21a = -8 + 60 Combine like terms: -60 + 60 = 0 0 + 21a = -8 + 60 21a = -8 + 60 Combine like terms: -8 + 60 = 52 21a = 52 Divide each side by '21'. a = 2.476190476 Simplifying a = 2.476190476
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