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Simplifying 3a + 7a + -15 = 6a + -1a + -80 Reorder the terms: -15 + 3a + 7a = 6a + -1a + -80 Combine like terms: 3a + 7a = 10a -15 + 10a = 6a + -1a + -80 Reorder the terms: -15 + 10a = -80 + 6a + -1a Combine like terms: 6a + -1a = 5a -15 + 10a = -80 + 5a Solving -15 + 10a = -80 + 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. -15 + 10a + -5a = -80 + 5a + -5a Combine like terms: 10a + -5a = 5a -15 + 5a = -80 + 5a + -5a Combine like terms: 5a + -5a = 0 -15 + 5a = -80 + 0 -15 + 5a = -80 Add '15' to each side of the equation. -15 + 15 + 5a = -80 + 15 Combine like terms: -15 + 15 = 0 0 + 5a = -80 + 15 5a = -80 + 15 Combine like terms: -80 + 15 = -65 5a = -65 Divide each side by '5'. a = -13 Simplifying a = -13
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