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Simplifying -2a + 7a + -15 = 7a + 1 Reorder the terms: -15 + -2a + 7a = 7a + 1 Combine like terms: -2a + 7a = 5a -15 + 5a = 7a + 1 Reorder the terms: -15 + 5a = 1 + 7a Solving -15 + 5a = 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 + 5a + -7a = 1 + 7a + -7a Combine like terms: 5a + -7a = -2a -15 + -2a = 1 + 7a + -7a Combine like terms: 7a + -7a = 0 -15 + -2a = 1 + 0 -15 + -2a = 1 Add '15' to each side of the equation. -15 + 15 + -2a = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -2a = 1 + 15 -2a = 1 + 15 Combine like terms: 1 + 15 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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