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Simplifying 3a + -2(a + -7) = 4 + 2a Reorder the terms: 3a + -2(-7 + a) = 4 + 2a 3a + (-7 * -2 + a * -2) = 4 + 2a 3a + (14 + -2a) = 4 + 2a Reorder the terms: 14 + 3a + -2a = 4 + 2a Combine like terms: 3a + -2a = 1a 14 + 1a = 4 + 2a Solving 14 + 1a = 4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 14 + 1a + -2a = 4 + 2a + -2a Combine like terms: 1a + -2a = -1a 14 + -1a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 14 + -1a = 4 + 0 14 + -1a = 4 Add '-14' to each side of the equation. 14 + -14 + -1a = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -1a = 4 + -14 -1a = 4 + -14 Combine like terms: 4 + -14 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10
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