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Simplifying 147 = 7(6 + -5n) 147 = (6 * 7 + -5n * 7) 147 = (42 + -35n) Solving 147 = 42 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 147 + 35n = 42 + -35n + 35n Combine like terms: -35n + 35n = 0 147 + 35n = 42 + 0 147 + 35n = 42 Add '-147' to each side of the equation. 147 + -147 + 35n = 42 + -147 Combine like terms: 147 + -147 = 0 0 + 35n = 42 + -147 35n = 42 + -147 Combine like terms: 42 + -147 = -105 35n = -105 Divide each side by '35'. n = -3 Simplifying n = -3
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