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Simplifying 5 + n + -6 + -3n = 6 + -1n + 1 Reorder the terms: 5 + -6 + n + -3n = 6 + -1n + 1 Combine like terms: 5 + -6 = -1 -1 + n + -3n = 6 + -1n + 1 Combine like terms: n + -3n = -2n -1 + -2n = 6 + -1n + 1 Reorder the terms: -1 + -2n = 6 + 1 + -1n Combine like terms: 6 + 1 = 7 -1 + -2n = 7 + -1n Solving -1 + -2n = 7 + -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. -1 + -2n + n = 7 + -1n + n Combine like terms: -2n + n = -1n -1 + -1n = 7 + -1n + n Combine like terms: -1n + n = 0 -1 + -1n = 7 + 0 -1 + -1n = 7 Add '1' to each side of the equation. -1 + 1 + -1n = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = 7 + 1 -1n = 7 + 1 Combine like terms: 7 + 1 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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