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Simplifying 7a + -31 = 10a + -5 + 8a + -4 Reorder the terms: -31 + 7a = 10a + -5 + 8a + -4 Reorder the terms: -31 + 7a = -5 + -4 + 10a + 8a Combine like terms: -5 + -4 = -9 -31 + 7a = -9 + 10a + 8a Combine like terms: 10a + 8a = 18a -31 + 7a = -9 + 18a Solving -31 + 7a = -9 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -31 + 7a + -18a = -9 + 18a + -18a Combine like terms: 7a + -18a = -11a -31 + -11a = -9 + 18a + -18a Combine like terms: 18a + -18a = 0 -31 + -11a = -9 + 0 -31 + -11a = -9 Add '31' to each side of the equation. -31 + 31 + -11a = -9 + 31 Combine like terms: -31 + 31 = 0 0 + -11a = -9 + 31 -11a = -9 + 31 Combine like terms: -9 + 31 = 22 -11a = 22 Divide each side by '-11'. a = -2 Simplifying a = -2
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