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Simplifying 1 + -7a = -5a + 13 Reorder the terms: 1 + -7a = 13 + -5a Solving 1 + -7a = 13 + -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 + -7a + 5a = 13 + -5a + 5a Combine like terms: -7a + 5a = -2a 1 + -2a = 13 + -5a + 5a Combine like terms: -5a + 5a = 0 1 + -2a = 13 + 0 1 + -2a = 13 Add '-1' to each side of the equation. 1 + -1 + -2a = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 13 + -1 -2a = 13 + -1 Combine like terms: 13 + -1 = 12 -2a = 12 Divide each side by '-2'. a = -6 Simplifying a = -6
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