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Simplifying a + 5 = 5a + -7 Reorder the terms: 5 + a = 5a + -7 Reorder the terms: 5 + a = -7 + 5a Solving 5 + a = -7 + 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. 5 + a + -5a = -7 + 5a + -5a Combine like terms: a + -5a = -4a 5 + -4a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 5 + -4a = -7 + 0 5 + -4a = -7 Add '-5' to each side of the equation. 5 + -5 + -4a = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -4a = -7 + -5 -4a = -7 + -5 Combine like terms: -7 + -5 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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