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Simplifying 15a + -7 = 10a + 38 Reorder the terms: -7 + 15a = 10a + 38 Reorder the terms: -7 + 15a = 38 + 10a Solving -7 + 15a = 38 + 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. -7 + 15a + -10a = 38 + 10a + -10a Combine like terms: 15a + -10a = 5a -7 + 5a = 38 + 10a + -10a Combine like terms: 10a + -10a = 0 -7 + 5a = 38 + 0 -7 + 5a = 38 Add '7' to each side of the equation. -7 + 7 + 5a = 38 + 7 Combine like terms: -7 + 7 = 0 0 + 5a = 38 + 7 5a = 38 + 7 Combine like terms: 38 + 7 = 45 5a = 45 Divide each side by '5'. a = 9 Simplifying a = 9
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