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Simplifying 200 = 7(7a + -4) + 8a Reorder the terms: 200 = 7(-4 + 7a) + 8a 200 = (-4 * 7 + 7a * 7) + 8a 200 = (-28 + 49a) + 8a Combine like terms: 49a + 8a = 57a 200 = -28 + 57a Solving 200 = -28 + 57a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-57a' to each side of the equation. 200 + -57a = -28 + 57a + -57a Combine like terms: 57a + -57a = 0 200 + -57a = -28 + 0 200 + -57a = -28 Add '-200' to each side of the equation. 200 + -200 + -57a = -28 + -200 Combine like terms: 200 + -200 = 0 0 + -57a = -28 + -200 -57a = -28 + -200 Combine like terms: -28 + -200 = -228 -57a = -228 Divide each side by '-57'. a = 4 Simplifying a = 4
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