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