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Simplifying 4a + 2a + 5 = 6 + 8a + 7 Reorder the terms: 5 + 4a + 2a = 6 + 8a + 7 Combine like terms: 4a + 2a = 6a 5 + 6a = 6 + 8a + 7 Reorder the terms: 5 + 6a = 6 + 7 + 8a Combine like terms: 6 + 7 = 13 5 + 6a = 13 + 8a Solving 5 + 6a = 13 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 5 + 6a + -8a = 13 + 8a + -8a Combine like terms: 6a + -8a = -2a 5 + -2a = 13 + 8a + -8a Combine like terms: 8a + -8a = 0 5 + -2a = 13 + 0 5 + -2a = 13 Add '-5' to each side of the equation. 5 + -5 + -2a = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 13 + -5 -2a = 13 + -5 Combine like terms: 13 + -5 = 8 -2a = 8 Divide each side by '-2'. a = -4 Simplifying a = -4
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