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Simplifying 10a + 12 = 5a + -18 Reorder the terms: 12 + 10a = 5a + -18 Reorder the terms: 12 + 10a = -18 + 5a Solving 12 + 10a = -18 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 12 + 10a + -5a = -18 + 5a + -5a Combine like terms: 10a + -5a = 5a 12 + 5a = -18 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + 5a = -18 + 0 12 + 5a = -18 Add '-12' to each side of the equation. 12 + -12 + 5a = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = -18 + -12 5a = -18 + -12 Combine like terms: -18 + -12 = -30 5a = -30 Divide each side by '5'. a = -6 Simplifying a = -6
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