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Simplifying 128 = 5a + 7(2a + 4) + a Reorder the terms: 128 = 5a + 7(4 + 2a) + a 128 = 5a + (4 * 7 + 2a * 7) + a 128 = 5a + (28 + 14a) + a Reorder the terms: 128 = 28 + 5a + 14a + a Combine like terms: 5a + 14a = 19a 128 = 28 + 19a + a Combine like terms: 19a + a = 20a 128 = 28 + 20a Solving 128 = 28 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 128 + -20a = 28 + 20a + -20a Combine like terms: 20a + -20a = 0 128 + -20a = 28 + 0 128 + -20a = 28 Add '-128' to each side of the equation. 128 + -128 + -20a = 28 + -128 Combine like terms: 128 + -128 = 0 0 + -20a = 28 + -128 -20a = 28 + -128 Combine like terms: 28 + -128 = -100 -20a = -100 Divide each side by '-20'. a = 5 Simplifying a = 5
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