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Simplifying 5a + 12a + -8 = 4 + 13a Reorder the terms: -8 + 5a + 12a = 4 + 13a Combine like terms: 5a + 12a = 17a -8 + 17a = 4 + 13a Solving -8 + 17a = 4 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -8 + 17a + -13a = 4 + 13a + -13a Combine like terms: 17a + -13a = 4a -8 + 4a = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 -8 + 4a = 4 + 0 -8 + 4a = 4 Add '8' to each side of the equation. -8 + 8 + 4a = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = 4 + 8 4a = 4 + 8 Combine like terms: 4 + 8 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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