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Simplifying 5 + -7a = 10 + -2a Solving 5 + -7a = 10 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 5 + -7a + 2a = 10 + -2a + 2a Combine like terms: -7a + 2a = -5a 5 + -5a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 5 + -5a = 10 + 0 5 + -5a = 10 Add '-5' to each side of the equation. 5 + -5 + -5a = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -5a = 10 + -5 -5a = 10 + -5 Combine like terms: 10 + -5 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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