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Simplifying -7(a + 5) = -84 Reorder the terms: -7(5 + a) = -84 (5 * -7 + a * -7) = -84 (-35 + -7a) = -84 Solving -35 + -7a = -84 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -7a = -84 + 35 Combine like terms: -35 + 35 = 0 0 + -7a = -84 + 35 -7a = -84 + 35 Combine like terms: -84 + 35 = -49 -7a = -49 Divide each side by '-7'. a = 7 Simplifying a = 7
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