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Simplifying a + 2 + -3 = a + -5a + 4 Reorder the terms: 2 + -3 + a = a + -5a + 4 Combine like terms: 2 + -3 = -1 -1 + a = a + -5a + 4 Reorder the terms: -1 + a = 4 + a + -5a Combine like terms: a + -5a = -4a -1 + a = 4 + -4a Solving -1 + a = 4 + -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. -1 + a + 4a = 4 + -4a + 4a Combine like terms: a + 4a = 5a -1 + 5a = 4 + -4a + 4a Combine like terms: -4a + 4a = 0 -1 + 5a = 4 + 0 -1 + 5a = 4 Add '1' to each side of the equation. -1 + 1 + 5a = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = 4 + 1 5a = 4 + 1 Combine like terms: 4 + 1 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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