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Simplifying 9n + -11(n + 3) = -1(n + 11) + -6 Reorder the terms: 9n + -11(3 + n) = -1(n + 11) + -6 9n + (3 * -11 + n * -11) = -1(n + 11) + -6 9n + (-33 + -11n) = -1(n + 11) + -6 Reorder the terms: -33 + 9n + -11n = -1(n + 11) + -6 Combine like terms: 9n + -11n = -2n -33 + -2n = -1(n + 11) + -6 Reorder the terms: -33 + -2n = -1(11 + n) + -6 -33 + -2n = (11 * -1 + n * -1) + -6 -33 + -2n = (-11 + -1n) + -6 Reorder the terms: -33 + -2n = -11 + -6 + -1n Combine like terms: -11 + -6 = -17 -33 + -2n = -17 + -1n Solving -33 + -2n = -17 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -33 + -2n + n = -17 + -1n + n Combine like terms: -2n + n = -1n -33 + -1n = -17 + -1n + n Combine like terms: -1n + n = 0 -33 + -1n = -17 + 0 -33 + -1n = -17 Add '33' to each side of the equation. -33 + 33 + -1n = -17 + 33 Combine like terms: -33 + 33 = 0 0 + -1n = -17 + 33 -1n = -17 + 33 Combine like terms: -17 + 33 = 16 -1n = 16 Divide each side by '-1'. n = -16 Simplifying n = -16
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