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Simplifying 4(a + 3) = a + 6 Reorder the terms: 4(3 + a) = a + 6 (3 * 4 + a * 4) = a + 6 (12 + 4a) = a + 6 Reorder the terms: 12 + 4a = 6 + a Solving 12 + 4a = 6 + 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. 12 + 4a + -1a = 6 + a + -1a Combine like terms: 4a + -1a = 3a 12 + 3a = 6 + a + -1a Combine like terms: a + -1a = 0 12 + 3a = 6 + 0 12 + 3a = 6 Add '-12' to each side of the equation. 12 + -12 + 3a = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 6 + -12 3a = 6 + -12 Combine like terms: 6 + -12 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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