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Simplifying 3(a + 4) + -2a = 7(a + 6) Reorder the terms: 3(4 + a) + -2a = 7(a + 6) (4 * 3 + a * 3) + -2a = 7(a + 6) (12 + 3a) + -2a = 7(a + 6) Combine like terms: 3a + -2a = 1a 12 + 1a = 7(a + 6) Reorder the terms: 12 + 1a = 7(6 + a) 12 + 1a = (6 * 7 + a * 7) 12 + 1a = (42 + 7a) Solving 12 + 1a = 42 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 12 + 1a + -7a = 42 + 7a + -7a Combine like terms: 1a + -7a = -6a 12 + -6a = 42 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -6a = 42 + 0 12 + -6a = 42 Add '-12' to each side of the equation. 12 + -12 + -6a = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = 42 + -12 -6a = 42 + -12 Combine like terms: 42 + -12 = 30 -6a = 30 Divide each side by '-6'. a = -5 Simplifying a = -5
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