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Simplifying a + 4(7 + -2a) = -5a + 20 a + (7 * 4 + -2a * 4) = -5a + 20 a + (28 + -8a) = -5a + 20 Reorder the terms: 28 + a + -8a = -5a + 20 Combine like terms: a + -8a = -7a 28 + -7a = -5a + 20 Reorder the terms: 28 + -7a = 20 + -5a Solving 28 + -7a = 20 + -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. 28 + -7a + 5a = 20 + -5a + 5a Combine like terms: -7a + 5a = -2a 28 + -2a = 20 + -5a + 5a Combine like terms: -5a + 5a = 0 28 + -2a = 20 + 0 28 + -2a = 20 Add '-28' to each side of the equation. 28 + -28 + -2a = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -2a = 20 + -28 -2a = 20 + -28 Combine like terms: 20 + -28 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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