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Simplifying a + 217 = -7a + -7 Reorder the terms: 217 + a = -7a + -7 Reorder the terms: 217 + a = -7 + -7a Solving 217 + a = -7 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 217 + a + 7a = -7 + -7a + 7a Combine like terms: a + 7a = 8a 217 + 8a = -7 + -7a + 7a Combine like terms: -7a + 7a = 0 217 + 8a = -7 + 0 217 + 8a = -7 Add '-217' to each side of the equation. 217 + -217 + 8a = -7 + -217 Combine like terms: 217 + -217 = 0 0 + 8a = -7 + -217 8a = -7 + -217 Combine like terms: -7 + -217 = -224 8a = -224 Divide each side by '8'. a = -28 Simplifying a = -28
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