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Simplifying 5a + -2(a + -6) = 3 + 4a Reorder the terms: 5a + -2(-6 + a) = 3 + 4a 5a + (-6 * -2 + a * -2) = 3 + 4a 5a + (12 + -2a) = 3 + 4a Reorder the terms: 12 + 5a + -2a = 3 + 4a Combine like terms: 5a + -2a = 3a 12 + 3a = 3 + 4a Solving 12 + 3a = 3 + 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. 12 + 3a + -4a = 3 + 4a + -4a Combine like terms: 3a + -4a = -1a 12 + -1a = 3 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + -1a = 3 + 0 12 + -1a = 3 Add '-12' to each side of the equation. 12 + -12 + -1a = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 3 + -12 -1a = 3 + -12 Combine like terms: 3 + -12 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9
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