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Simplifying 84 = -1a + 4(2a + 7) Reorder the terms: 84 = -1a + 4(7 + 2a) 84 = -1a + (7 * 4 + 2a * 4) 84 = -1a + (28 + 8a) Reorder the terms: 84 = 28 + -1a + 8a Combine like terms: -1a + 8a = 7a 84 = 28 + 7a Solving 84 = 28 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 84 + -7a = 28 + 7a + -7a Combine like terms: 7a + -7a = 0 84 + -7a = 28 + 0 84 + -7a = 28 Add '-84' to each side of the equation. 84 + -84 + -7a = 28 + -84 Combine like terms: 84 + -84 = 0 0 + -7a = 28 + -84 -7a = 28 + -84 Combine like terms: 28 + -84 = -56 -7a = -56 Divide each side by '-7'. a = 8 Simplifying a = 8
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