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Simplifying 164 = -7(8n + -6) + -5n Reorder the terms: 164 = -7(-6 + 8n) + -5n 164 = (-6 * -7 + 8n * -7) + -5n 164 = (42 + -56n) + -5n Combine like terms: -56n + -5n = -61n 164 = 42 + -61n Solving 164 = 42 + -61n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '61n' to each side of the equation. 164 + 61n = 42 + -61n + 61n Combine like terms: -61n + 61n = 0 164 + 61n = 42 + 0 164 + 61n = 42 Add '-164' to each side of the equation. 164 + -164 + 61n = 42 + -164 Combine like terms: 164 + -164 = 0 0 + 61n = 42 + -164 61n = 42 + -164 Combine like terms: 42 + -164 = -122 61n = -122 Divide each side by '61'. n = -2 Simplifying n = -2
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