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Simplifying 3a + -14 = 18 + -1a Reorder the terms: -14 + 3a = 18 + -1a Solving -14 + 3a = 18 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -14 + 3a + a = 18 + -1a + a Combine like terms: 3a + a = 4a -14 + 4a = 18 + -1a + a Combine like terms: -1a + a = 0 -14 + 4a = 18 + 0 -14 + 4a = 18 Add '14' to each side of the equation. -14 + 14 + 4a = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 4a = 18 + 14 4a = 18 + 14 Combine like terms: 18 + 14 = 32 4a = 32 Divide each side by '4'. a = 8 Simplifying a = 8
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