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Simplifying 7a + 18 = -12 + -1a + -30 + -4a Reorder the terms: 18 + 7a = -12 + -1a + -30 + -4a Reorder the terms: 18 + 7a = -12 + -30 + -1a + -4a Combine like terms: -12 + -30 = -42 18 + 7a = -42 + -1a + -4a Combine like terms: -1a + -4a = -5a 18 + 7a = -42 + -5a Solving 18 + 7a = -42 + -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. 18 + 7a + 5a = -42 + -5a + 5a Combine like terms: 7a + 5a = 12a 18 + 12a = -42 + -5a + 5a Combine like terms: -5a + 5a = 0 18 + 12a = -42 + 0 18 + 12a = -42 Add '-18' to each side of the equation. 18 + -18 + 12a = -42 + -18 Combine like terms: 18 + -18 = 0 0 + 12a = -42 + -18 12a = -42 + -18 Combine like terms: -42 + -18 = -60 12a = -60 Divide each side by '12'. a = -5 Simplifying a = -5
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