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Simplifying 15a + -8 = 10a + 7 Reorder the terms: -8 + 15a = 10a + 7 Reorder the terms: -8 + 15a = 7 + 10a Solving -8 + 15a = 7 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -8 + 15a + -10a = 7 + 10a + -10a Combine like terms: 15a + -10a = 5a -8 + 5a = 7 + 10a + -10a Combine like terms: 10a + -10a = 0 -8 + 5a = 7 + 0 -8 + 5a = 7 Add '8' to each side of the equation. -8 + 8 + 5a = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5a = 7 + 8 5a = 7 + 8 Combine like terms: 7 + 8 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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