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Simplifying 3a + 1 + -4 = -1a + 7 Reorder the terms: 1 + -4 + 3a = -1a + 7 Combine like terms: 1 + -4 = -3 -3 + 3a = -1a + 7 Reorder the terms: -3 + 3a = 7 + -1a Solving -3 + 3a = 7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -3 + 3a + a = 7 + -1a + a Combine like terms: 3a + a = 4a -3 + 4a = 7 + -1a + a Combine like terms: -1a + a = 0 -3 + 4a = 7 + 0 -3 + 4a = 7 Add '3' to each side of the equation. -3 + 3 + 4a = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = 7 + 3 4a = 7 + 3 Combine like terms: 7 + 3 = 10 4a = 10 Divide each side by '4'. a = 2.5 Simplifying a = 2.5
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