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Simplifying 5a + -7 = 6a + -1 Reorder the terms: -7 + 5a = 6a + -1 Reorder the terms: -7 + 5a = -1 + 6a Solving -7 + 5a = -1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -7 + 5a + -6a = -1 + 6a + -6a Combine like terms: 5a + -6a = -1a -7 + -1a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + -1a = -1 + 0 -7 + -1a = -1 Add '7' to each side of the equation. -7 + 7 + -1a = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = -1 + 7 -1a = -1 + 7 Combine like terms: -1 + 7 = 6 -1a = 6 Divide each side by '-1'. a = -6 Simplifying a = -6
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