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Simplifying 4a + 13 = 3a + 10 Reorder the terms: 13 + 4a = 3a + 10 Reorder the terms: 13 + 4a = 10 + 3a Solving 13 + 4a = 10 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 13 + 4a + -3a = 10 + 3a + -3a Combine like terms: 4a + -3a = 1a 13 + 1a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 13 + 1a = 10 + 0 13 + 1a = 10 Add '-13' to each side of the equation. 13 + -13 + 1a = 10 + -13 Combine like terms: 13 + -13 = 0 0 + 1a = 10 + -13 1a = 10 + -13 Combine like terms: 10 + -13 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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