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