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Simplifying 5a + -7 = a + -1 + 3a Reorder the terms: -7 + 5a = a + -1 + 3a Reorder the terms: -7 + 5a = -1 + a + 3a Combine like terms: a + 3a = 4a -7 + 5a = -1 + 4a Solving -7 + 5a = -1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -7 + 5a + -4a = -1 + 4a + -4a Combine like terms: 5a + -4a = 1a -7 + 1a = -1 + 4a + -4a Combine like terms: 4a + -4a = 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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