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Simplifying 84 = 7(a + 7) Reorder the terms: 84 = 7(7 + a) 84 = (7 * 7 + a * 7) 84 = (49 + 7a) Solving 84 = 49 + 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 = 49 + 7a + -7a Combine like terms: 7a + -7a = 0 84 + -7a = 49 + 0 84 + -7a = 49 Add '-84' to each side of the equation. 84 + -84 + -7a = 49 + -84 Combine like terms: 84 + -84 = 0 0 + -7a = 49 + -84 -7a = 49 + -84 Combine like terms: 49 + -84 = -35 -7a = -35 Divide each side by '-7'. a = 5 Simplifying a = 5
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