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Simplifying 5a + -3(a + -6) = 4 + 3a Reorder the terms: 5a + -3(-6 + a) = 4 + 3a 5a + (-6 * -3 + a * -3) = 4 + 3a 5a + (18 + -3a) = 4 + 3a Reorder the terms: 18 + 5a + -3a = 4 + 3a Combine like terms: 5a + -3a = 2a 18 + 2a = 4 + 3a Solving 18 + 2a = 4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 18 + 2a + -3a = 4 + 3a + -3a Combine like terms: 2a + -3a = -1a 18 + -1a = 4 + 3a + -3a Combine like terms: 3a + -3a = 0 18 + -1a = 4 + 0 18 + -1a = 4 Add '-18' to each side of the equation. 18 + -18 + -1a = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 4 + -18 -1a = 4 + -18 Combine like terms: 4 + -18 = -14 -1a = -14 Divide each side by '-1'. a = 14 Simplifying a = 14
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