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Simplifying 4a + -2(a + -7) = 3 + 3a Reorder the terms: 4a + -2(-7 + a) = 3 + 3a 4a + (-7 * -2 + a * -2) = 3 + 3a 4a + (14 + -2a) = 3 + 3a Reorder the terms: 14 + 4a + -2a = 3 + 3a Combine like terms: 4a + -2a = 2a 14 + 2a = 3 + 3a Solving 14 + 2a = 3 + 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. 14 + 2a + -3a = 3 + 3a + -3a Combine like terms: 2a + -3a = -1a 14 + -1a = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 14 + -1a = 3 + 0 14 + -1a = 3 Add '-14' to each side of the equation. 14 + -14 + -1a = 3 + -14 Combine like terms: 14 + -14 = 0 0 + -1a = 3 + -14 -1a = 3 + -14 Combine like terms: 3 + -14 = -11 -1a = -11 Divide each side by '-1'. a = 11 Simplifying a = 11
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