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Simplifying 3A + 4(a + -1) + 6 = 5A + -2(A + 3) + 44 Reorder the terms: 3A + 4(-1 + a) + 6 = 5A + -2(A + 3) + 44 3A + (-1 * 4 + a * 4) + 6 = 5A + -2(A + 3) + 44 3A + (-4 + 4a) + 6 = 5A + -2(A + 3) + 44 Reorder the terms: -4 + 6 + 3A + 4a = 5A + -2(A + 3) + 44 Combine like terms: -4 + 6 = 2 2 + 3A + 4a = 5A + -2(A + 3) + 44 Reorder the terms: 2 + 3A + 4a = 5A + -2(3 + A) + 44 2 + 3A + 4a = 5A + (3 * -2 + A * -2) + 44 2 + 3A + 4a = 5A + (-6 + -2A) + 44 Reorder the terms: 2 + 3A + 4a = -6 + 44 + 5A + -2A Combine like terms: -6 + 44 = 38 2 + 3A + 4a = 38 + 5A + -2A Combine like terms: 5A + -2A = 3A 2 + 3A + 4a = 38 + 3A Add '-3A' to each side of the equation. 2 + 3A + -3A + 4a = 38 + 3A + -3A Combine like terms: 3A + -3A = 0 2 + 0 + 4a = 38 + 3A + -3A 2 + 4a = 38 + 3A + -3A Combine like terms: 3A + -3A = 0 2 + 4a = 38 + 0 2 + 4a = 38 Solving 2 + 4a = 38 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4a = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 4a = 38 + -2 4a = 38 + -2 Combine like terms: 38 + -2 = 36 4a = 36 Divide each side by '4'. a = 9 Simplifying a = 9
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