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Simplifying 12 + a + 7 = 3a + -30 Reorder the terms: 12 + 7 + a = 3a + -30 Combine like terms: 12 + 7 = 19 19 + a = 3a + -30 Reorder the terms: 19 + a = -30 + 3a Solving 19 + a = -30 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 19 + a + -3a = -30 + 3a + -3a Combine like terms: a + -3a = -2a 19 + -2a = -30 + 3a + -3a Combine like terms: 3a + -3a = 0 19 + -2a = -30 + 0 19 + -2a = -30 Add '-19' to each side of the equation. 19 + -19 + -2a = -30 + -19 Combine like terms: 19 + -19 = 0 0 + -2a = -30 + -19 -2a = -30 + -19 Combine like terms: -30 + -19 = -49 -2a = -49 Divide each side by '-2'. a = 24.5 Simplifying a = 24.5
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