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Simplifying -22 = -3(n + 8) + 2(2n + -2) Reorder the terms: -22 = -3(8 + n) + 2(2n + -2) -22 = (8 * -3 + n * -3) + 2(2n + -2) -22 = (-24 + -3n) + 2(2n + -2) Reorder the terms: -22 = -24 + -3n + 2(-2 + 2n) -22 = -24 + -3n + (-2 * 2 + 2n * 2) -22 = -24 + -3n + (-4 + 4n) Reorder the terms: -22 = -24 + -4 + -3n + 4n Combine like terms: -24 + -4 = -28 -22 = -28 + -3n + 4n Combine like terms: -3n + 4n = 1n -22 = -28 + 1n Solving -22 = -28 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -22 + -1n = -28 + 1n + -1n Combine like terms: 1n + -1n = 0 -22 + -1n = -28 + 0 -22 + -1n = -28 Add '22' to each side of the equation. -22 + 22 + -1n = -28 + 22 Combine like terms: -22 + 22 = 0 0 + -1n = -28 + 22 -1n = -28 + 22 Combine like terms: -28 + 22 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6
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