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Simplifying 217 = -7(6a + 5) Reorder the terms: 217 = -7(5 + 6a) 217 = (5 * -7 + 6a * -7) 217 = (-35 + -42a) Solving 217 = -35 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. 217 + 42a = -35 + -42a + 42a Combine like terms: -42a + 42a = 0 217 + 42a = -35 + 0 217 + 42a = -35 Add '-217' to each side of the equation. 217 + -217 + 42a = -35 + -217 Combine like terms: 217 + -217 = 0 0 + 42a = -35 + -217 42a = -35 + -217 Combine like terms: -35 + -217 = -252 42a = -252 Divide each side by '42'. a = -6 Simplifying a = -6
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