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Simplifying 5(3a + -1) + -2 = (3a + 2) + v Reorder the terms: 5(-1 + 3a) + -2 = (3a + 2) + v (-1 * 5 + 3a * 5) + -2 = (3a + 2) + v (-5 + 15a) + -2 = (3a + 2) + v Reorder the terms: -5 + -2 + 15a = (3a + 2) + v Combine like terms: -5 + -2 = -7 -7 + 15a = (3a + 2) + v Reorder the terms: -7 + 15a = (2 + 3a) + v Remove parenthesis around (2 + 3a) -7 + 15a = 2 + 3a + v Solving -7 + 15a = 2 + 3a + v Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7 + 15a + -3a = 2 + 3a + -3a + v Combine like terms: 15a + -3a = 12a -7 + 12a = 2 + 3a + -3a + v Combine like terms: 3a + -3a = 0 -7 + 12a = 2 + 0 + v -7 + 12a = 2 + v Add '7' to each side of the equation. -7 + 7 + 12a = 2 + 7 + v Combine like terms: -7 + 7 = 0 0 + 12a = 2 + 7 + v 12a = 2 + 7 + v Combine like terms: 2 + 7 = 9 12a = 9 + v Divide each side by '12'. a = 0.75 + 0.08333333333v Simplifying a = 0.75 + 0.08333333333v
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