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Simplifying a + -7 = -5a + -17 Reorder the terms: -7 + a = -5a + -17 Reorder the terms: -7 + a = -17 + -5a Solving -7 + a = -17 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -7 + a + 5a = -17 + -5a + 5a Combine like terms: a + 5a = 6a -7 + 6a = -17 + -5a + 5a Combine like terms: -5a + 5a = 0 -7 + 6a = -17 + 0 -7 + 6a = -17 Add '7' to each side of the equation. -7 + 7 + 6a = -17 + 7 Combine like terms: -7 + 7 = 0 0 + 6a = -17 + 7 6a = -17 + 7 Combine like terms: -17 + 7 = -10 6a = -10 Divide each side by '6'. a = -1.666666667 Simplifying a = -1.666666667
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