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Simplifying 8 * 4 = (n * 7) + -1(n * 3) Multiply 8 * 4 32 = (n * 7) + -1(n * 3) Reorder the terms for easier multiplication: 32 = (7n) + -1(n * 3) Reorder the terms for easier multiplication: 32 = (7n) + -1(3n) Remove parenthesis around (3n) 32 = (7n) + -1 * 3n Multiply -1 * 3 32 = (7n) + -3n Combine like terms: (7n) + -3n = 4n 32 = 4n Solving 32 = 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. 32 + -4n = 4n + -4n Combine like terms: 4n + -4n = 0 32 + -4n = 0 Add '-32' to each side of the equation. 32 + -32 + -4n = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4n = 0 + -32 -4n = 0 + -32 Combine like terms: 0 + -32 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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