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Simplifying -3(7a + -1) = -4a + -31 Reorder the terms: -3(-1 + 7a) = -4a + -31 (-1 * -3 + 7a * -3) = -4a + -31 (3 + -21a) = -4a + -31 Reorder the terms: 3 + -21a = -31 + -4a Solving 3 + -21a = -31 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 3 + -21a + 4a = -31 + -4a + 4a Combine like terms: -21a + 4a = -17a 3 + -17a = -31 + -4a + 4a Combine like terms: -4a + 4a = 0 3 + -17a = -31 + 0 3 + -17a = -31 Add '-3' to each side of the equation. 3 + -3 + -17a = -31 + -3 Combine like terms: 3 + -3 = 0 0 + -17a = -31 + -3 -17a = -31 + -3 Combine like terms: -31 + -3 = -34 -17a = -34 Divide each side by '-17'. a = 2 Simplifying a = 2
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