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Simplifying 4a + -4 = 13a + -31 Reorder the terms: -4 + 4a = 13a + -31 Reorder the terms: -4 + 4a = -31 + 13a Solving -4 + 4a = -31 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -4 + 4a + -13a = -31 + 13a + -13a Combine like terms: 4a + -13a = -9a -4 + -9a = -31 + 13a + -13a Combine like terms: 13a + -13a = 0 -4 + -9a = -31 + 0 -4 + -9a = -31 Add '4' to each side of the equation. -4 + 4 + -9a = -31 + 4 Combine like terms: -4 + 4 = 0 0 + -9a = -31 + 4 -9a = -31 + 4 Combine like terms: -31 + 4 = -27 -9a = -27 Divide each side by '-9'. a = 3 Simplifying a = 3
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