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Simplifying 4(a + -11) + 3a = 20a + -31 Reorder the terms: 4(-11 + a) + 3a = 20a + -31 (-11 * 4 + a * 4) + 3a = 20a + -31 (-44 + 4a) + 3a = 20a + -31 Combine like terms: 4a + 3a = 7a -44 + 7a = 20a + -31 Reorder the terms: -44 + 7a = -31 + 20a Solving -44 + 7a = -31 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -44 + 7a + -20a = -31 + 20a + -20a Combine like terms: 7a + -20a = -13a -44 + -13a = -31 + 20a + -20a Combine like terms: 20a + -20a = 0 -44 + -13a = -31 + 0 -44 + -13a = -31 Add '44' to each side of the equation. -44 + 44 + -13a = -31 + 44 Combine like terms: -44 + 44 = 0 0 + -13a = -31 + 44 -13a = -31 + 44 Combine like terms: -31 + 44 = 13 -13a = 13 Divide each side by '-13'. a = -1 Simplifying a = -1
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