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Simplifying a + -2(3 + -2a) = 4(2a + -7) a + (3 * -2 + -2a * -2) = 4(2a + -7) a + (-6 + 4a) = 4(2a + -7) Reorder the terms: -6 + a + 4a = 4(2a + -7) Combine like terms: a + 4a = 5a -6 + 5a = 4(2a + -7) Reorder the terms: -6 + 5a = 4(-7 + 2a) -6 + 5a = (-7 * 4 + 2a * 4) -6 + 5a = (-28 + 8a) Solving -6 + 5a = -28 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -6 + 5a + -8a = -28 + 8a + -8a Combine like terms: 5a + -8a = -3a -6 + -3a = -28 + 8a + -8a Combine like terms: 8a + -8a = 0 -6 + -3a = -28 + 0 -6 + -3a = -28 Add '6' to each side of the equation. -6 + 6 + -3a = -28 + 6 Combine like terms: -6 + 6 = 0 0 + -3a = -28 + 6 -3a = -28 + 6 Combine like terms: -28 + 6 = -22 -3a = -22 Divide each side by '-3'. a = 7.333333333 Simplifying a = 7.333333333
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