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Simplifying -1(n + -5) + -6 = -4(n + 2) + 1 Reorder the terms: -1(-5 + n) + -6 = -4(n + 2) + 1 (-5 * -1 + n * -1) + -6 = -4(n + 2) + 1 (5 + -1n) + -6 = -4(n + 2) + 1 Reorder the terms: 5 + -6 + -1n = -4(n + 2) + 1 Combine like terms: 5 + -6 = -1 -1 + -1n = -4(n + 2) + 1 Reorder the terms: -1 + -1n = -4(2 + n) + 1 -1 + -1n = (2 * -4 + n * -4) + 1 -1 + -1n = (-8 + -4n) + 1 Reorder the terms: -1 + -1n = -8 + 1 + -4n Combine like terms: -8 + 1 = -7 -1 + -1n = -7 + -4n Solving -1 + -1n = -7 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -1 + -1n + 4n = -7 + -4n + 4n Combine like terms: -1n + 4n = 3n -1 + 3n = -7 + -4n + 4n Combine like terms: -4n + 4n = 0 -1 + 3n = -7 + 0 -1 + 3n = -7 Add '1' to each side of the equation. -1 + 1 + 3n = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = -7 + 1 3n = -7 + 1 Combine like terms: -7 + 1 = -6 3n = -6 Divide each side by '3'. n = -2 Simplifying n = -2
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