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Simplifying 7a + 5 = 2(a + -5) + 5 Reorder the terms: 5 + 7a = 2(a + -5) + 5 Reorder the terms: 5 + 7a = 2(-5 + a) + 5 5 + 7a = (-5 * 2 + a * 2) + 5 5 + 7a = (-10 + 2a) + 5 Reorder the terms: 5 + 7a = -10 + 5 + 2a Combine like terms: -10 + 5 = -5 5 + 7a = -5 + 2a Solving 5 + 7a = -5 + 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 = -5 + 2a + -2a Combine like terms: 7a + -2a = 5a 5 + 5a = -5 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 5a = -5 + 0 5 + 5a = -5 Add '-5' to each side of the equation. 5 + -5 + 5a = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 5a = -5 + -5 5a = -5 + -5 Combine like terms: -5 + -5 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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