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Simplifying 3(a + 7) + -5a = a + 12 Reorder the terms: 3(7 + a) + -5a = a + 12 (7 * 3 + a * 3) + -5a = a + 12 (21 + 3a) + -5a = a + 12 Combine like terms: 3a + -5a = -2a 21 + -2a = a + 12 Reorder the terms: 21 + -2a = 12 + a Solving 21 + -2a = 12 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 21 + -2a + -1a = 12 + a + -1a Combine like terms: -2a + -1a = -3a 21 + -3a = 12 + a + -1a Combine like terms: a + -1a = 0 21 + -3a = 12 + 0 21 + -3a = 12 Add '-21' to each side of the equation. 21 + -21 + -3a = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -3a = 12 + -21 -3a = 12 + -21 Combine like terms: 12 + -21 = -9 -3a = -9 Divide each side by '-3'. a = 3 Simplifying a = 3
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