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Simplifying 17(A + 3) = 4(A + -10) + 13 Reorder the terms: 17(3 + A) = 4(A + -10) + 13 (3 * 17 + A * 17) = 4(A + -10) + 13 (51 + 17A) = 4(A + -10) + 13 Reorder the terms: 51 + 17A = 4(-10 + A) + 13 51 + 17A = (-10 * 4 + A * 4) + 13 51 + 17A = (-40 + 4A) + 13 Reorder the terms: 51 + 17A = -40 + 13 + 4A Combine like terms: -40 + 13 = -27 51 + 17A = -27 + 4A Solving 51 + 17A = -27 + 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. 51 + 17A + -4A = -27 + 4A + -4A Combine like terms: 17A + -4A = 13A 51 + 13A = -27 + 4A + -4A Combine like terms: 4A + -4A = 0 51 + 13A = -27 + 0 51 + 13A = -27 Add '-51' to each side of the equation. 51 + -51 + 13A = -27 + -51 Combine like terms: 51 + -51 = 0 0 + 13A = -27 + -51 13A = -27 + -51 Combine like terms: -27 + -51 = -78 13A = -78 Divide each side by '13'. A = -6 Simplifying A = -6
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