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Simplifying 12a + 18 = 4a + -14 + -18 Reorder the terms: 18 + 12a = 4a + -14 + -18 Reorder the terms: 18 + 12a = -14 + -18 + 4a Combine like terms: -14 + -18 = -32 18 + 12a = -32 + 4a Solving 18 + 12a = -32 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 18 + 12a + -4a = -32 + 4a + -4a Combine like terms: 12a + -4a = 8a 18 + 8a = -32 + 4a + -4a Combine like terms: 4a + -4a = 0 18 + 8a = -32 + 0 18 + 8a = -32 Add '-18' to each side of the equation. 18 + -18 + 8a = -32 + -18 Combine like terms: 18 + -18 = 0 0 + 8a = -32 + -18 8a = -32 + -18 Combine like terms: -32 + -18 = -50 8a = -50 Divide each side by '8'. a = -6.25 Simplifying a = -6.25
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