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Simplifying 7(n + -1) = 22(3 + n) Reorder the terms: 7(-1 + n) = 22(3 + n) (-1 * 7 + n * 7) = 22(3 + n) (-7 + 7n) = 22(3 + n) -7 + 7n = (3 * 22 + n * 22) -7 + 7n = (66 + 22n) Solving -7 + 7n = 66 + 22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22n' to each side of the equation. -7 + 7n + -22n = 66 + 22n + -22n Combine like terms: 7n + -22n = -15n -7 + -15n = 66 + 22n + -22n Combine like terms: 22n + -22n = 0 -7 + -15n = 66 + 0 -7 + -15n = 66 Add '7' to each side of the equation. -7 + 7 + -15n = 66 + 7 Combine like terms: -7 + 7 = 0 0 + -15n = 66 + 7 -15n = 66 + 7 Combine like terms: 66 + 7 = 73 -15n = 73 Divide each side by '-15'. n = -4.866666667 Simplifying n = -4.866666667
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