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Simplifying n + 106 = 4n + 10 Reorder the terms: 106 + n = 4n + 10 Reorder the terms: 106 + n = 10 + 4n Solving 106 + n = 10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 106 + n + -4n = 10 + 4n + -4n Combine like terms: n + -4n = -3n 106 + -3n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 106 + -3n = 10 + 0 106 + -3n = 10 Add '-106' to each side of the equation. 106 + -106 + -3n = 10 + -106 Combine like terms: 106 + -106 = 0 0 + -3n = 10 + -106 -3n = 10 + -106 Combine like terms: 10 + -106 = -96 -3n = -96 Divide each side by '-3'. n = 32 Simplifying n = 32
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