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Simplifying -128 = 8a + -4(7 + 7a) -128 = 8a + (7 * -4 + 7a * -4) -128 = 8a + (-28 + -28a) Reorder the terms: -128 = -28 + 8a + -28a Combine like terms: 8a + -28a = -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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