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Simplifying 1 + n + -7 + -10 = 6n + 14 Reorder the terms: 1 + -7 + -10 + n = 6n + 14 Combine like terms: 1 + -7 = -6 -6 + -10 + n = 6n + 14 Combine like terms: -6 + -10 = -16 -16 + n = 6n + 14 Reorder the terms: -16 + n = 14 + 6n Solving -16 + n = 14 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -16 + n + -6n = 14 + 6n + -6n Combine like terms: n + -6n = -5n -16 + -5n = 14 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + -5n = 14 + 0 -16 + -5n = 14 Add '16' to each side of the equation. -16 + 16 + -5n = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -5n = 14 + 16 -5n = 14 + 16 Combine like terms: 14 + 16 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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