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Simplifying 2(A + 5) + -3(A + -3) = 4A Reorder the terms: 2(5 + A) + -3(A + -3) = 4A (5 * 2 + A * 2) + -3(A + -3) = 4A (10 + 2A) + -3(A + -3) = 4A Reorder the terms: 10 + 2A + -3(-3 + A) = 4A 10 + 2A + (-3 * -3 + A * -3) = 4A 10 + 2A + (9 + -3A) = 4A Reorder the terms: 10 + 9 + 2A + -3A = 4A Combine like terms: 10 + 9 = 19 19 + 2A + -3A = 4A Combine like terms: 2A + -3A = -1A 19 + -1A = 4A Solving 19 + -1A = 4A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-4A' to each side of the equation. 19 + -1A + -4A = 4A + -4A Combine like terms: -1A + -4A = -5A 19 + -5A = 4A + -4A Combine like terms: 4A + -4A = 0 19 + -5A = 0 Add '-19' to each side of the equation. 19 + -19 + -5A = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5A = 0 + -19 -5A = 0 + -19 Combine like terms: 0 + -19 = -19 -5A = -19 Divide each side by '-5'. A = 3.8 Simplifying A = 3.8
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