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Simplifying 4(a + -2) + 2(3A + -1) + -3 = 0 Reorder the terms: 4(-2 + a) + 2(3A + -1) + -3 = 0 (-2 * 4 + a * 4) + 2(3A + -1) + -3 = 0 (-8 + 4a) + 2(3A + -1) + -3 = 0 Reorder the terms: -8 + 4a + 2(-1 + 3A) + -3 = 0 -8 + 4a + (-1 * 2 + 3A * 2) + -3 = 0 -8 + 4a + (-2 + 6A) + -3 = 0 Reorder the terms: -8 + -2 + -3 + 6A + 4a = 0 Combine like terms: -8 + -2 = -10 -10 + -3 + 6A + 4a = 0 Combine like terms: -10 + -3 = -13 -13 + 6A + 4a = 0 Solving -13 + 6A + 4a = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 6A + 13 + 4a = 0 + 13 Reorder the terms: -13 + 13 + 6A + 4a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6A + 4a = 0 + 13 6A + 4a = 0 + 13 Combine like terms: 0 + 13 = 13 6A + 4a = 13 Add '-4a' to each side of the equation. 6A + 4a + -4a = 13 + -4a Combine like terms: 4a + -4a = 0 6A + 0 = 13 + -4a 6A = 13 + -4a Divide each side by '6'. A = 2.166666667 + -0.6666666667a Simplifying A = 2.166666667 + -0.6666666667a
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