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Simplifying -2a + 7 = -1a + -8 + 2a Reorder the terms: 7 + -2a = -1a + -8 + 2a Reorder the terms: 7 + -2a = -8 + -1a + 2a Combine like terms: -1a + 2a = 1a 7 + -2a = -8 + 1a Solving 7 + -2a = -8 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + -2a + -1a = -8 + 1a + -1a Combine like terms: -2a + -1a = -3a 7 + -3a = -8 + 1a + -1a Combine like terms: 1a + -1a = 0 7 + -3a = -8 + 0 7 + -3a = -8 Add '-7' to each side of the equation. 7 + -7 + -3a = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = -8 + -7 -3a = -8 + -7 Combine like terms: -8 + -7 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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