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Simplifying 5(3a + -1a) + -2(3a + 2) = 3(a + 2) + v Combine like terms: 3a + -1a = 2a 5(2a) + -2(3a + 2) = 3(a + 2) + v Remove parenthesis around (2a) 5 * 2a + -2(3a + 2) = 3(a + 2) + v Multiply 5 * 2 10a + -2(3a + 2) = 3(a + 2) + v Reorder the terms: 10a + -2(2 + 3a) = 3(a + 2) + v 10a + (2 * -2 + 3a * -2) = 3(a + 2) + v 10a + (-4 + -6a) = 3(a + 2) + v Reorder the terms: -4 + 10a + -6a = 3(a + 2) + v Combine like terms: 10a + -6a = 4a -4 + 4a = 3(a + 2) + v Reorder the terms: -4 + 4a = 3(2 + a) + v -4 + 4a = (2 * 3 + a * 3) + v -4 + 4a = (6 + 3a) + v Solving -4 + 4a = 6 + 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. -4 + 4a + -3a = 6 + 3a + -3a + v Combine like terms: 4a + -3a = 1a -4 + 1a = 6 + 3a + -3a + v Combine like terms: 3a + -3a = 0 -4 + 1a = 6 + 0 + v -4 + 1a = 6 + v Add '4' to each side of the equation. -4 + 4 + 1a = 6 + 4 + v Combine like terms: -4 + 4 = 0 0 + 1a = 6 + 4 + v 1a = 6 + 4 + v Combine like terms: 6 + 4 = 10 1a = 10 + v Divide each side by '1'. a = 10 + v Simplifying a = 10 + v
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