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Simplifying 7a + 3a + -10 = 5a + 80 Reorder the terms: -10 + 7a + 3a = 5a + 80 Combine like terms: 7a + 3a = 10a -10 + 10a = 5a + 80 Reorder the terms: -10 + 10a = 80 + 5a Solving -10 + 10a = 80 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -10 + 10a + -5a = 80 + 5a + -5a Combine like terms: 10a + -5a = 5a -10 + 5a = 80 + 5a + -5a Combine like terms: 5a + -5a = 0 -10 + 5a = 80 + 0 -10 + 5a = 80 Add '10' to each side of the equation. -10 + 10 + 5a = 80 + 10 Combine like terms: -10 + 10 = 0 0 + 5a = 80 + 10 5a = 80 + 10 Combine like terms: 80 + 10 = 90 5a = 90 Divide each side by '5'. a = 18 Simplifying a = 18
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