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Simplifying 6(4 + -1a) + 3a = 4a + -4 (4 * 6 + -1a * 6) + 3a = 4a + -4 (24 + -6a) + 3a = 4a + -4 Combine like terms: -6a + 3a = -3a 24 + -3a = 4a + -4 Reorder the terms: 24 + -3a = -4 + 4a Solving 24 + -3a = -4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 24 + -3a + -4a = -4 + 4a + -4a Combine like terms: -3a + -4a = -7a 24 + -7a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 24 + -7a = -4 + 0 24 + -7a = -4 Add '-24' to each side of the equation. 24 + -24 + -7a = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -7a = -4 + -24 -7a = -4 + -24 Combine like terms: -4 + -24 = -28 -7a = -28 Divide each side by '-7'. a = 4 Simplifying a = 4
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