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Simplifying 10a + -8 = 3a + 15 Reorder the terms: -8 + 10a = 3a + 15 Reorder the terms: -8 + 10a = 15 + 3a Solving -8 + 10a = 15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 10a + -3a = 15 + 3a + -3a Combine like terms: 10a + -3a = 7a -8 + 7a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 7a = 15 + 0 -8 + 7a = 15 Add '8' to each side of the equation. -8 + 8 + 7a = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 7a = 15 + 8 7a = 15 + 8 Combine like terms: 15 + 8 = 23 7a = 23 Divide each side by '7'. a = 3.285714286 Simplifying a = 3.285714286
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