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Simplifying 4a + 3 + -2a + 2 = 5a + -13 + a Reorder the terms: 3 + 2 + 4a + -2a = 5a + -13 + a Combine like terms: 3 + 2 = 5 5 + 4a + -2a = 5a + -13 + a Combine like terms: 4a + -2a = 2a 5 + 2a = 5a + -13 + a Reorder the terms: 5 + 2a = -13 + 5a + a Combine like terms: 5a + a = 6a 5 + 2a = -13 + 6a Solving 5 + 2a = -13 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 5 + 2a + -6a = -13 + 6a + -6a Combine like terms: 2a + -6a = -4a 5 + -4a = -13 + 6a + -6a Combine like terms: 6a + -6a = 0 5 + -4a = -13 + 0 5 + -4a = -13 Add '-5' to each side of the equation. 5 + -5 + -4a = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -4a = -13 + -5 -4a = -13 + -5 Combine like terms: -13 + -5 = -18 -4a = -18 Divide each side by '-4'. a = 4.5 Simplifying a = 4.5
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