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Simplifying 4(n + -2) = -1 + -1(-7n + -2) Reorder the terms: 4(-2 + n) = -1 + -1(-7n + -2) (-2 * 4 + n * 4) = -1 + -1(-7n + -2) (-8 + 4n) = -1 + -1(-7n + -2) Reorder the terms: -8 + 4n = -1 + -1(-2 + -7n) -8 + 4n = -1 + (-2 * -1 + -7n * -1) -8 + 4n = -1 + (2 + 7n) Combine like terms: -1 + 2 = 1 -8 + 4n = 1 + 7n Solving -8 + 4n = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -8 + 4n + -7n = 1 + 7n + -7n Combine like terms: 4n + -7n = -3n -8 + -3n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + -3n = 1 + 0 -8 + -3n = 1 Add '8' to each side of the equation. -8 + 8 + -3n = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -3n = 1 + 8 -3n = 1 + 8 Combine like terms: 1 + 8 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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