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Simplifying -217 = 7 + -7(8a + -8) Reorder the terms: -217 = 7 + -7(-8 + 8a) -217 = 7 + (-8 * -7 + 8a * -7) -217 = 7 + (56 + -56a) Combine like terms: 7 + 56 = 63 -217 = 63 + -56a Solving -217 = 63 + -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. -217 + 56a = 63 + -56a + 56a Combine like terms: -56a + 56a = 0 -217 + 56a = 63 + 0 -217 + 56a = 63 Add '217' to each side of the equation. -217 + 217 + 56a = 63 + 217 Combine like terms: -217 + 217 = 0 0 + 56a = 63 + 217 56a = 63 + 217 Combine like terms: 63 + 217 = 280 56a = 280 Divide each side by '56'. a = 5 Simplifying a = 5
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