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Simplifying a + 5 = 7a + -3 Reorder the terms: 5 + a = 7a + -3 Reorder the terms: 5 + a = -3 + 7a Solving 5 + a = -3 + 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. 5 + a + -7a = -3 + 7a + -7a Combine like terms: a + -7a = -6a 5 + -6a = -3 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + -6a = -3 + 0 5 + -6a = -3 Add '-5' to each side of the equation. 5 + -5 + -6a = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = -3 + -5 -6a = -3 + -5 Combine like terms: -3 + -5 = -8 -6a = -8 Divide each side by '-6'. a = 1.333333333 Simplifying a = 1.333333333
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