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Simplifying 3a + 2 + -2a + -5 = 4a + 3 Reorder the terms: 2 + -5 + 3a + -2a = 4a + 3 Combine like terms: 2 + -5 = -3 -3 + 3a + -2a = 4a + 3 Combine like terms: 3a + -2a = 1a -3 + 1a = 4a + 3 Reorder the terms: -3 + 1a = 3 + 4a Solving -3 + 1a = 3 + 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 + 1a + -4a = 3 + 4a + -4a Combine like terms: 1a + -4a = -3a -3 + -3a = 3 + 4a + -4a Combine like terms: 4a + -4a = 0 -3 + -3a = 3 + 0 -3 + -3a = 3 Add '3' to each side of the equation. -3 + 3 + -3a = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -3a = 3 + 3 -3a = 3 + 3 Combine like terms: 3 + 3 = 6 -3a = 6 Divide each side by '-3'. a = -2 Simplifying a = -2
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