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Simplifying -161 + 5n = -7[-6 + 8n] + 3 -161 + 5n = [-6 * -7 + 8n * -7] + 3 -161 + 5n = [42 + -56n] + 3 Reorder the terms: -161 + 5n = 42 + 3 + -56n Combine like terms: 42 + 3 = 45 -161 + 5n = 45 + -56n Solving -161 + 5n = 45 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. -161 + 5n + 56n = 45 + -56n + 56n Combine like terms: 5n + 56n = 61n -161 + 61n = 45 + -56n + 56n Combine like terms: -56n + 56n = 0 -161 + 61n = 45 + 0 -161 + 61n = 45 Add '161' to each side of the equation. -161 + 161 + 61n = 45 + 161 Combine like terms: -161 + 161 = 0 0 + 61n = 45 + 161 61n = 45 + 161 Combine like terms: 45 + 161 = 206 61n = 206 Divide each side by '61'. n = 3.37704918 Simplifying n = 3.37704918
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