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Simplifying -2a + 7 = a + -8 + -7a Reorder the terms: 7 + -2a = a + -8 + -7a Reorder the terms: 7 + -2a = -8 + a + -7a Combine like terms: a + -7a = -6a 7 + -2a = -8 + -6a Solving 7 + -2a = -8 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 7 + -2a + 6a = -8 + -6a + 6a Combine like terms: -2a + 6a = 4a 7 + 4a = -8 + -6a + 6a Combine like terms: -6a + 6a = 0 7 + 4a = -8 + 0 7 + 4a = -8 Add '-7' to each side of the equation. 7 + -7 + 4a = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = -8 + -7 4a = -8 + -7 Combine like terms: -8 + -7 = -15 4a = -15 Divide each side by '4'. a = -3.75 Simplifying a = -3.75
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