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Simplifying -7 + -10n = 5n + 8 Reorder the terms: -7 + -10n = 8 + 5n Solving -7 + -10n = 8 + 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. -7 + -10n + -5n = 8 + 5n + -5n Combine like terms: -10n + -5n = -15n -7 + -15n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 -7 + -15n = 8 + 0 -7 + -15n = 8 Add '7' to each side of the equation. -7 + 7 + -15n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -15n = 8 + 7 -15n = 8 + 7 Combine like terms: 8 + 7 = 15 -15n = 15 Divide each side by '-15'. n = -1 Simplifying n = -1
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