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Simplifying 5(A + 8) = 10A + -50 Reorder the terms: 5(8 + A) = 10A + -50 (8 * 5 + A * 5) = 10A + -50 (40 + 5A) = 10A + -50 Reorder the terms: 40 + 5A = -50 + 10A Solving 40 + 5A = -50 + 10A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-10A' to each side of the equation. 40 + 5A + -10A = -50 + 10A + -10A Combine like terms: 5A + -10A = -5A 40 + -5A = -50 + 10A + -10A Combine like terms: 10A + -10A = 0 40 + -5A = -50 + 0 40 + -5A = -50 Add '-40' to each side of the equation. 40 + -40 + -5A = -50 + -40 Combine like terms: 40 + -40 = 0 0 + -5A = -50 + -40 -5A = -50 + -40 Combine like terms: -50 + -40 = -90 -5A = -90 Divide each side by '-5'. A = 18 Simplifying A = 18
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