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Simplifying -16 + 5n = -7(-6 + 8n + 3) Reorder the terms: -16 + 5n = -7(-6 + 3 + 8n) Combine like terms: -6 + 3 = -3 -16 + 5n = -7(-3 + 8n) -16 + 5n = (-3 * -7 + 8n * -7) -16 + 5n = (21 + -56n) Solving -16 + 5n = 21 + -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 = 21 + -56n + 56n Combine like terms: 5n + 56n = 61n -16 + 61n = 21 + -56n + 56n Combine like terms: -56n + 56n = 0 -16 + 61n = 21 + 0 -16 + 61n = 21 Add '16' to each side of the equation. -16 + 16 + 61n = 21 + 16 Combine like terms: -16 + 16 = 0 0 + 61n = 21 + 16 61n = 21 + 16 Combine like terms: 21 + 16 = 37 61n = 37 Divide each side by '61'. n = 0.606557377 Simplifying n = 0.606557377
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