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Simplifying 7(1 + 3A) = 8A + -19 (1 * 7 + 3A * 7) = 8A + -19 (7 + 21A) = 8A + -19 Reorder the terms: 7 + 21A = -19 + 8A Solving 7 + 21A = -19 + 8A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-8A' to each side of the equation. 7 + 21A + -8A = -19 + 8A + -8A Combine like terms: 21A + -8A = 13A 7 + 13A = -19 + 8A + -8A Combine like terms: 8A + -8A = 0 7 + 13A = -19 + 0 7 + 13A = -19 Add '-7' to each side of the equation. 7 + -7 + 13A = -19 + -7 Combine like terms: 7 + -7 = 0 0 + 13A = -19 + -7 13A = -19 + -7 Combine like terms: -19 + -7 = -26 13A = -26 Divide each side by '13'. A = -2 Simplifying A = -2
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