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Simplifying a + 13 = 1 + 5a Reorder the terms: 13 + a = 1 + 5a Solving 13 + a = 1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 13 + a + -5a = 1 + 5a + -5a Combine like terms: a + -5a = -4a 13 + -4a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 13 + -4a = 1 + 0 13 + -4a = 1 Add '-13' to each side of the equation. 13 + -13 + -4a = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -4a = 1 + -13 -4a = 1 + -13 Combine like terms: 1 + -13 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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