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Simplifying -7 + 4a + 6a = 1 + 6a + 3a Combine like terms: 4a + 6a = 10a -7 + 10a = 1 + 6a + 3a Combine like terms: 6a + 3a = 9a -7 + 10a = 1 + 9a Solving -7 + 10a = 1 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -7 + 10a + -9a = 1 + 9a + -9a Combine like terms: 10a + -9a = 1a -7 + 1a = 1 + 9a + -9a Combine like terms: 9a + -9a = 0 -7 + 1a = 1 + 0 -7 + 1a = 1 Add '7' to each side of the equation. -7 + 7 + 1a = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1a = 1 + 7 1a = 1 + 7 Combine like terms: 1 + 7 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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