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Simplifying 84 = -6(a + -7) Reorder the terms: 84 = -6(-7 + a) 84 = (-7 * -6 + a * -6) 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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