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Simplifying -6a + -15 = -1a + -7 + -6a Reorder the terms: -15 + -6a = -1a + -7 + -6a Reorder the terms: -15 + -6a = -7 + -1a + -6a Combine like terms: -1a + -6a = -7a -15 + -6a = -7 + -7a Solving -15 + -6a = -7 + -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 + -6a + 7a = -7 + -7a + 7a Combine like terms: -6a + 7a = 1a -15 + 1a = -7 + -7a + 7a Combine like terms: -7a + 7a = 0 -15 + 1a = -7 + 0 -15 + 1a = -7 Add '15' to each side of the equation. -15 + 15 + 1a = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 1a = -7 + 15 1a = -7 + 15 Combine like terms: -7 + 15 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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