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Simplifying a + 5 + -7a = 8 + 3a + -2a + 4 Reorder the terms: 5 + a + -7a = 8 + 3a + -2a + 4 Combine like terms: a + -7a = -6a 5 + -6a = 8 + 3a + -2a + 4 Reorder the terms: 5 + -6a = 8 + 4 + 3a + -2a Combine like terms: 8 + 4 = 12 5 + -6a = 12 + 3a + -2a Combine like terms: 3a + -2a = 1a 5 + -6a = 12 + 1a Solving 5 + -6a = 12 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 5 + -6a + -1a = 12 + 1a + -1a Combine like terms: -6a + -1a = -7a 5 + -7a = 12 + 1a + -1a Combine like terms: 1a + -1a = 0 5 + -7a = 12 + 0 5 + -7a = 12 Add '-5' to each side of the equation. 5 + -5 + -7a = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = 12 + -5 -7a = 12 + -5 Combine like terms: 12 + -5 = 7 -7a = 7 Divide each side by '-7'. a = -1 Simplifying a = -1
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