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Simplifying -3a + -7 = 5a + 1 Reorder the terms: -7 + -3a = 5a + 1 Reorder the terms: -7 + -3a = 1 + 5a Solving -7 + -3a = 1 + 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. -7 + -3a + -5a = 1 + 5a + -5a Combine like terms: -3a + -5a = -8a -7 + -8a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 -7 + -8a = 1 + 0 -7 + -8a = 1 Add '7' to each side of the equation. -7 + 7 + -8a = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -8a = 1 + 7 -8a = 1 + 7 Combine like terms: 1 + 7 = 8 -8a = 8 Divide each side by '-8'. a = -1 Simplifying a = -1
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