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Simplifying 3a + -4 = 10 + a Reorder the terms: -4 + 3a = 10 + a Solving -4 + 3a = 10 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -4 + 3a + -1a = 10 + a + -1a Combine like terms: 3a + -1a = 2a -4 + 2a = 10 + a + -1a Combine like terms: a + -1a = 0 -4 + 2a = 10 + 0 -4 + 2a = 10 Add '4' to each side of the equation. -4 + 4 + 2a = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 10 + 4 2a = 10 + 4 Combine like terms: 10 + 4 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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