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Simplifying -84 = -8a + -7(6 + -2a) -84 = -8a + (6 * -7 + -2a * -7) -84 = -8a + (-42 + 14a) Reorder the terms: -84 = -42 + -8a + 14a Combine like terms: -8a + 14a = 6a -84 = -42 + 6a Solving -84 = -42 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -84 + -6a = -42 + 6a + -6a Combine like terms: 6a + -6a = 0 -84 + -6a = -42 + 0 -84 + -6a = -42 Add '84' to each side of the equation. -84 + 84 + -6a = -42 + 84 Combine like terms: -84 + 84 = 0 0 + -6a = -42 + 84 -6a = -42 + 84 Combine like terms: -42 + 84 = 42 -6a = 42 Divide each side by '-6'. a = -7 Simplifying a = -7
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