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Simplifying 4(11 + -1n) = -4(2 + -9) (11 * 4 + -1n * 4) = -4(2 + -9) (44 + -4n) = -4(2 + -9) Combine like terms: 2 + -9 = -7 44 + -4n = -4(-7) Multiply -4 * -7 44 + -4n = 28 Solving 44 + -4n = 28 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -4n = 28 + -44 Combine like terms: 44 + -44 = 0 0 + -4n = 28 + -44 -4n = 28 + -44 Combine like terms: 28 + -44 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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