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Simplifying 1 + -7n = -10n + 7 + 5n Reorder the terms: 1 + -7n = 7 + -10n + 5n Combine like terms: -10n + 5n = -5n 1 + -7n = 7 + -5n Solving 1 + -7n = 7 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 1 + -7n + 5n = 7 + -5n + 5n Combine like terms: -7n + 5n = -2n 1 + -2n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 1 + -2n = 7 + 0 1 + -2n = 7 Add '-1' to each side of the equation. 1 + -1 + -2n = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 7 + -1 -2n = 7 + -1 Combine like terms: 7 + -1 = 6 -2n = 6 Divide each side by '-2'. n = -3 Simplifying n = -3
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