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Simplifying 35 + 12 = n + 8 Combine like terms: 35 + 12 = 47 47 = n + 8 Reorder the terms: 47 = 8 + n Solving 47 = 8 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 47 + -1n = 8 + n + -1n Combine like terms: n + -1n = 0 47 + -1n = 8 + 0 47 + -1n = 8 Add '-47' to each side of the equation. 47 + -47 + -1n = 8 + -47 Combine like terms: 47 + -47 = 0 0 + -1n = 8 + -47 -1n = 8 + -47 Combine like terms: 8 + -47 = -39 -1n = -39 Divide each side by '-1'. n = 39 Simplifying n = 39
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