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Simplifying 5a + -40 + 12 = 3a + -18 Reorder the terms: -40 + 12 + 5a = 3a + -18 Combine like terms: -40 + 12 = -28 -28 + 5a = 3a + -18 Reorder the terms: -28 + 5a = -18 + 3a Solving -28 + 5a = -18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -28 + 5a + -3a = -18 + 3a + -3a Combine like terms: 5a + -3a = 2a -28 + 2a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -28 + 2a = -18 + 0 -28 + 2a = -18 Add '28' to each side of the equation. -28 + 28 + 2a = -18 + 28 Combine like terms: -28 + 28 = 0 0 + 2a = -18 + 28 2a = -18 + 28 Combine like terms: -18 + 28 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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