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Simplifying 5a + 2 = 7a + -10 Reorder the terms: 2 + 5a = 7a + -10 Reorder the terms: 2 + 5a = -10 + 7a Solving 2 + 5a = -10 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 2 + 5a + -7a = -10 + 7a + -7a Combine like terms: 5a + -7a = -2a 2 + -2a = -10 + 7a + -7a Combine like terms: 7a + -7a = 0 2 + -2a = -10 + 0 2 + -2a = -10 Add '-2' to each side of the equation. 2 + -2 + -2a = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -2a = -10 + -2 -2a = -10 + -2 Combine like terms: -10 + -2 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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