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Simplifying 1 + -2(7n + 11) = -4(-11 + 4n) + 7n Reorder the terms: 1 + -2(11 + 7n) = -4(-11 + 4n) + 7n 1 + (11 * -2 + 7n * -2) = -4(-11 + 4n) + 7n 1 + (-22 + -14n) = -4(-11 + 4n) + 7n Combine like terms: 1 + -22 = -21 -21 + -14n = -4(-11 + 4n) + 7n -21 + -14n = (-11 * -4 + 4n * -4) + 7n -21 + -14n = (44 + -16n) + 7n Combine like terms: -16n + 7n = -9n -21 + -14n = 44 + -9n Solving -21 + -14n = 44 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -21 + -14n + 9n = 44 + -9n + 9n Combine like terms: -14n + 9n = -5n -21 + -5n = 44 + -9n + 9n Combine like terms: -9n + 9n = 0 -21 + -5n = 44 + 0 -21 + -5n = 44 Add '21' to each side of the equation. -21 + 21 + -5n = 44 + 21 Combine like terms: -21 + 21 = 0 0 + -5n = 44 + 21 -5n = 44 + 21 Combine like terms: 44 + 21 = 65 -5n = 65 Divide each side by '-5'. n = -13 Simplifying n = -13
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