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Simplifying 2a + 2 = 5a + -7 Reorder the terms: 2 + 2a = 5a + -7 Reorder the terms: 2 + 2a = -7 + 5a Solving 2 + 2a = -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. 2 + 2a + -5a = -7 + 5a + -5a Combine like terms: 2a + -5a = -3a 2 + -3a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 2 + -3a = -7 + 0 2 + -3a = -7 Add '-2' to each side of the equation. 2 + -2 + -3a = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = -7 + -2 -3a = -7 + -2 Combine like terms: -7 + -2 = -9 -3a = -9 Divide each side by '-3'. a = 3 Simplifying a = 3
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