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Simplifying -16 + 5n = -7(-6 + 8n) + 8 -16 + 5n = (-6 * -7 + 8n * -7) + 8 -16 + 5n = (42 + -56n) + 8 Reorder the terms: -16 + 5n = 42 + 8 + -56n Combine like terms: 42 + 8 = 50 -16 + 5n = 50 + -56n Solving -16 + 5n = 50 + -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. -16 + 5n + 56n = 50 + -56n + 56n Combine like terms: 5n + 56n = 61n -16 + 61n = 50 + -56n + 56n Combine like terms: -56n + 56n = 0 -16 + 61n = 50 + 0 -16 + 61n = 50 Add '16' to each side of the equation. -16 + 16 + 61n = 50 + 16 Combine like terms: -16 + 16 = 0 0 + 61n = 50 + 16 61n = 50 + 16 Combine like terms: 50 + 16 = 66 61n = 66 Divide each side by '61'. n = 1.081967213 Simplifying n = 1.081967213
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