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Simplifying 7a + -7 + 6a = 10 + -4a Reorder the terms: -7 + 7a + 6a = 10 + -4a Combine like terms: 7a + 6a = 13a -7 + 13a = 10 + -4a Solving -7 + 13a = 10 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -7 + 13a + 4a = 10 + -4a + 4a Combine like terms: 13a + 4a = 17a -7 + 17a = 10 + -4a + 4a Combine like terms: -4a + 4a = 0 -7 + 17a = 10 + 0 -7 + 17a = 10 Add '7' to each side of the equation. -7 + 7 + 17a = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 17a = 10 + 7 17a = 10 + 7 Combine like terms: 10 + 7 = 17 17a = 17 Divide each side by '17'. a = 1 Simplifying a = 1
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