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Simplifying 4(a + 3) + -7 = 6a + -12 Reorder the terms: 4(3 + a) + -7 = 6a + -12 (3 * 4 + a * 4) + -7 = 6a + -12 (12 + 4a) + -7 = 6a + -12 Reorder the terms: 12 + -7 + 4a = 6a + -12 Combine like terms: 12 + -7 = 5 5 + 4a = 6a + -12 Reorder the terms: 5 + 4a = -12 + 6a Solving 5 + 4a = -12 + 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. 5 + 4a + -6a = -12 + 6a + -6a Combine like terms: 4a + -6a = -2a 5 + -2a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 5 + -2a = -12 + 0 5 + -2a = -12 Add '-5' to each side of the equation. 5 + -5 + -2a = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = -12 + -5 -2a = -12 + -5 Combine like terms: -12 + -5 = -17 -2a = -17 Divide each side by '-2'. a = 8.5 Simplifying a = 8.5
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