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Simplifying 4a + -2(3a + -7) = 5(a + 3) + 6 Reorder the terms: 4a + -2(-7 + 3a) = 5(a + 3) + 6 4a + (-7 * -2 + 3a * -2) = 5(a + 3) + 6 4a + (14 + -6a) = 5(a + 3) + 6 Reorder the terms: 14 + 4a + -6a = 5(a + 3) + 6 Combine like terms: 4a + -6a = -2a 14 + -2a = 5(a + 3) + 6 Reorder the terms: 14 + -2a = 5(3 + a) + 6 14 + -2a = (3 * 5 + a * 5) + 6 14 + -2a = (15 + 5a) + 6 Reorder the terms: 14 + -2a = 15 + 6 + 5a Combine like terms: 15 + 6 = 21 14 + -2a = 21 + 5a Solving 14 + -2a = 21 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 14 + -2a + -5a = 21 + 5a + -5a Combine like terms: -2a + -5a = -7a 14 + -7a = 21 + 5a + -5a Combine like terms: 5a + -5a = 0 14 + -7a = 21 + 0 14 + -7a = 21 Add '-14' to each side of the equation. 14 + -14 + -7a = 21 + -14 Combine like terms: 14 + -14 = 0 0 + -7a = 21 + -14 -7a = 21 + -14 Combine like terms: 21 + -14 = 7 -7a = 7 Divide each side by '-7'. a = -1 Simplifying a = -1
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