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Simplifying 4(a + -2) + 2(3A + -1) + -3a = 0 Reorder the terms: 4(-2 + a) + 2(3A + -1) + -3a = 0 (-2 * 4 + a * 4) + 2(3A + -1) + -3a = 0 (-8 + 4a) + 2(3A + -1) + -3a = 0 Reorder the terms: -8 + 4a + 2(-1 + 3A) + -3a = 0 -8 + 4a + (-1 * 2 + 3A * 2) + -3a = 0 -8 + 4a + (-2 + 6A) + -3a = 0 Reorder the terms: -8 + -2 + 6A + 4a + -3a = 0 Combine like terms: -8 + -2 = -10 -10 + 6A + 4a + -3a = 0 Combine like terms: 4a + -3a = 1a -10 + 6A + 1a = 0 Solving -10 + 6A + 1a = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6A + 10 + 1a = 0 + 10 Reorder the terms: -10 + 10 + 6A + 1a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6A + 1a = 0 + 10 6A + 1a = 0 + 10 Combine like terms: 0 + 10 = 10 6A + 1a = 10 Add '-1a' to each side of the equation. 6A + 1a + -1a = 10 + -1a Combine like terms: 1a + -1a = 0 6A + 0 = 10 + -1a 6A = 10 + -1a Divide each side by '6'. A = 1.666666667 + -0.1666666667a Simplifying A = 1.666666667 + -0.1666666667a
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