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Simplifying 10a + -6 = 8a + 7 Reorder the terms: -6 + 10a = 8a + 7 Reorder the terms: -6 + 10a = 7 + 8a Solving -6 + 10a = 7 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -6 + 10a + -8a = 7 + 8a + -8a Combine like terms: 10a + -8a = 2a -6 + 2a = 7 + 8a + -8a Combine like terms: 8a + -8a = 0 -6 + 2a = 7 + 0 -6 + 2a = 7 Add '6' to each side of the equation. -6 + 6 + 2a = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 2a = 7 + 6 2a = 7 + 6 Combine like terms: 7 + 6 = 13 2a = 13 Divide each side by '2'. a = 6.5 Simplifying a = 6.5
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