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Simplifying a + -15 = -7a + 1 Reorder the terms: -15 + a = -7a + 1 Reorder the terms: -15 + a = 1 + -7a Solving -15 + a = 1 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -15 + a + 7a = 1 + -7a + 7a Combine like terms: a + 7a = 8a -15 + 8a = 1 + -7a + 7a Combine like terms: -7a + 7a = 0 -15 + 8a = 1 + 0 -15 + 8a = 1 Add '15' to each side of the equation. -15 + 15 + 8a = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8a = 1 + 15 8a = 1 + 15 Combine like terms: 1 + 15 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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