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Simplifying 4a + 13 = 69 + -3a Reorder the terms: 13 + 4a = 69 + -3a Solving 13 + 4a = 69 + -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 = 69 + -3a + 3a Combine like terms: 4a + 3a = 7a 13 + 7a = 69 + -3a + 3a Combine like terms: -3a + 3a = 0 13 + 7a = 69 + 0 13 + 7a = 69 Add '-13' to each side of the equation. 13 + -13 + 7a = 69 + -13 Combine like terms: 13 + -13 = 0 0 + 7a = 69 + -13 7a = 69 + -13 Combine like terms: 69 + -13 = 56 7a = 56 Divide each side by '7'. a = 8 Simplifying a = 8
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