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Simplifying 3a + 5 = 4a + -2 Reorder the terms: 5 + 3a = 4a + -2 Reorder the terms: 5 + 3a = -2 + 4a Solving 5 + 3a = -2 + 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. 5 + 3a + -4a = -2 + 4a + -4a Combine like terms: 3a + -4a = -1a 5 + -1a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 5 + -1a = -2 + 0 5 + -1a = -2 Add '-5' to each side of the equation. 5 + -5 + -1a = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = -2 + -5 -1a = -2 + -5 Combine like terms: -2 + -5 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7
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