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Simplifying 5a + -1 = a + -7 Reorder the terms: -1 + 5a = a + -7 Reorder the terms: -1 + 5a = -7 + a Solving -1 + 5a = -7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -1 + 5a + -1a = -7 + a + -1a Combine like terms: 5a + -1a = 4a -1 + 4a = -7 + a + -1a Combine like terms: a + -1a = 0 -1 + 4a = -7 + 0 -1 + 4a = -7 Add '1' to each side of the equation. -1 + 1 + 4a = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 4a = -7 + 1 4a = -7 + 1 Combine like terms: -7 + 1 = -6 4a = -6 Divide each side by '4'. a = -1.5 Simplifying a = -1.5
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