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Simplifying 3a + 4(a + 6) = 10a + 12 Reorder the terms: 3a + 4(6 + a) = 10a + 12 3a + (6 * 4 + a * 4) = 10a + 12 3a + (24 + 4a) = 10a + 12 Reorder the terms: 24 + 3a + 4a = 10a + 12 Combine like terms: 3a + 4a = 7a 24 + 7a = 10a + 12 Reorder the terms: 24 + 7a = 12 + 10a Solving 24 + 7a = 12 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 24 + 7a + -10a = 12 + 10a + -10a Combine like terms: 7a + -10a = -3a 24 + -3a = 12 + 10a + -10a Combine like terms: 10a + -10a = 0 24 + -3a = 12 + 0 24 + -3a = 12 Add '-24' to each side of the equation. 24 + -24 + -3a = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -3a = 12 + -24 -3a = 12 + -24 Combine like terms: 12 + -24 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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