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Simplifying 5(A + -5) + -1(3A + 3) = 5(5A + 3) + 26 Reorder the terms: 5(-5 + A) + -1(3A + 3) = 5(5A + 3) + 26 (-5 * 5 + A * 5) + -1(3A + 3) = 5(5A + 3) + 26 (-25 + 5A) + -1(3A + 3) = 5(5A + 3) + 26 Reorder the terms: -25 + 5A + -1(3 + 3A) = 5(5A + 3) + 26 -25 + 5A + (3 * -1 + 3A * -1) = 5(5A + 3) + 26 -25 + 5A + (-3 + -3A) = 5(5A + 3) + 26 Reorder the terms: -25 + -3 + 5A + -3A = 5(5A + 3) + 26 Combine like terms: -25 + -3 = -28 -28 + 5A + -3A = 5(5A + 3) + 26 Combine like terms: 5A + -3A = 2A -28 + 2A = 5(5A + 3) + 26 Reorder the terms: -28 + 2A = 5(3 + 5A) + 26 -28 + 2A = (3 * 5 + 5A * 5) + 26 -28 + 2A = (15 + 25A) + 26 Reorder the terms: -28 + 2A = 15 + 26 + 25A Combine like terms: 15 + 26 = 41 -28 + 2A = 41 + 25A Solving -28 + 2A = 41 + 25A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-25A' to each side of the equation. -28 + 2A + -25A = 41 + 25A + -25A Combine like terms: 2A + -25A = -23A -28 + -23A = 41 + 25A + -25A Combine like terms: 25A + -25A = 0 -28 + -23A = 41 + 0 -28 + -23A = 41 Add '28' to each side of the equation. -28 + 28 + -23A = 41 + 28 Combine like terms: -28 + 28 = 0 0 + -23A = 41 + 28 -23A = 41 + 28 Combine like terms: 41 + 28 = 69 -23A = 69 Divide each side by '-23'. A = -3 Simplifying A = -3
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