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Simplifying 10n + 10 = 5n + 7n Reorder the terms: 10 + 10n = 5n + 7n Combine like terms: 5n + 7n = 12n 10 + 10n = 12n Solving 10 + 10n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 10 + 10n + -12n = 12n + -12n Combine like terms: 10n + -12n = -2n 10 + -2n = 12n + -12n Combine like terms: 12n + -12n = 0 10 + -2n = 0 Add '-10' to each side of the equation. 10 + -10 + -2n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 0 + -10 -2n = 0 + -10 Combine like terms: 0 + -10 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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