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Simplifying -1 + 31 = -7 + -7a + -8 + -2a Combine like terms: -1 + 31 = 30 30 = -7 + -7a + -8 + -2a Reorder the terms: 30 = -7 + -8 + -7a + -2a Combine like terms: -7 + -8 = -15 30 = -15 + -7a + -2a Combine like terms: -7a + -2a = -9a 30 = -15 + -9a Solving 30 = -15 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 30 + 9a = -15 + -9a + 9a Combine like terms: -9a + 9a = 0 30 + 9a = -15 + 0 30 + 9a = -15 Add '-30' to each side of the equation. 30 + -30 + 9a = -15 + -30 Combine like terms: 30 + -30 = 0 0 + 9a = -15 + -30 9a = -15 + -30 Combine like terms: -15 + -30 = -45 9a = -45 Divide each side by '9'. a = -5 Simplifying a = -5
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