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Simplifying 4(n + -3) + -2n = 22 + -1(n + -11) Reorder the terms: 4(-3 + n) + -2n = 22 + -1(n + -11) (-3 * 4 + n * 4) + -2n = 22 + -1(n + -11) (-12 + 4n) + -2n = 22 + -1(n + -11) Combine like terms: 4n + -2n = 2n -12 + 2n = 22 + -1(n + -11) Reorder the terms: -12 + 2n = 22 + -1(-11 + n) -12 + 2n = 22 + (-11 * -1 + n * -1) -12 + 2n = 22 + (11 + -1n) Combine like terms: 22 + 11 = 33 -12 + 2n = 33 + -1n Solving -12 + 2n = 33 + -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. -12 + 2n + n = 33 + -1n + n Combine like terms: 2n + n = 3n -12 + 3n = 33 + -1n + n Combine like terms: -1n + n = 0 -12 + 3n = 33 + 0 -12 + 3n = 33 Add '12' to each side of the equation. -12 + 12 + 3n = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 3n = 33 + 12 3n = 33 + 12 Combine like terms: 33 + 12 = 45 3n = 45 Divide each side by '3'. n = 15 Simplifying n = 15
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