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Simplifying 8a + 12 = -18 + 10a + -4a Reorder the terms: 12 + 8a = -18 + 10a + -4a Combine like terms: 10a + -4a = 6a 12 + 8a = -18 + 6a Solving 12 + 8a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 12 + 8a + -6a = -18 + 6a + -6a Combine like terms: 8a + -6a = 2a 12 + 2a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + 2a = -18 + 0 12 + 2a = -18 Add '-12' to each side of the equation. 12 + -12 + 2a = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = -18 + -12 2a = -18 + -12 Combine like terms: -18 + -12 = -30 2a = -30 Divide each side by '2'. a = -15 Simplifying a = -15
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