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Simplifying 7(5a + -6) + -1 = -218 Reorder the terms: 7(-6 + 5a) + -1 = -218 (-6 * 7 + 5a * 7) + -1 = -218 (-42 + 35a) + -1 = -218 Reorder the terms: -42 + -1 + 35a = -218 Combine like terms: -42 + -1 = -43 -43 + 35a = -218 Solving -43 + 35a = -218 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 35a = -218 + 43 Combine like terms: -43 + 43 = 0 0 + 35a = -218 + 43 35a = -218 + 43 Combine like terms: -218 + 43 = -175 35a = -175 Divide each side by '35'. a = -5 Simplifying a = -5
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