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Simplifying -16 + 1 + 3n + 7 = n + 6 Reorder the terms: -16 + 1 + 7 + 3n = n + 6 Combine like terms: -16 + 1 = -15 -15 + 7 + 3n = n + 6 Combine like terms: -15 + 7 = -8 -8 + 3n = n + 6 Reorder the terms: -8 + 3n = 6 + n Solving -8 + 3n = 6 + n 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. -8 + 3n + -1n = 6 + n + -1n Combine like terms: 3n + -1n = 2n -8 + 2n = 6 + n + -1n Combine like terms: n + -1n = 0 -8 + 2n = 6 + 0 -8 + 2n = 6 Add '8' to each side of the equation. -8 + 8 + 2n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 6 + 8 2n = 6 + 8 Combine like terms: 6 + 8 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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