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Simplifying 5a + -3 + 6a = 4a + -3 + 14 Reorder the terms: -3 + 5a + 6a = 4a + -3 + 14 Combine like terms: 5a + 6a = 11a -3 + 11a = 4a + -3 + 14 Reorder the terms: -3 + 11a = -3 + 14 + 4a Combine like terms: -3 + 14 = 11 -3 + 11a = 11 + 4a Solving -3 + 11a = 11 + 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. -3 + 11a + -4a = 11 + 4a + -4a Combine like terms: 11a + -4a = 7a -3 + 7a = 11 + 4a + -4a Combine like terms: 4a + -4a = 0 -3 + 7a = 11 + 0 -3 + 7a = 11 Add '3' to each side of the equation. -3 + 3 + 7a = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 7a = 11 + 3 7a = 11 + 3 Combine like terms: 11 + 3 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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