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Simplifying -16 + 5n = 7(6 + -8n) + 3 -16 + 5n = (6 * 7 + -8n * 7) + 3 -16 + 5n = (42 + -56n) + 3 Reorder the terms: -16 + 5n = 42 + 3 + -56n Combine like terms: 42 + 3 = 45 -16 + 5n = 45 + -56n Solving -16 + 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. -16 + 5n + 56n = 45 + -56n + 56n Combine like terms: 5n + 56n = 61n -16 + 61n = 45 + -56n + 56n Combine like terms: -56n + 56n = 0 -16 + 61n = 45 + 0 -16 + 61n = 45 Add '16' to each side of the equation. -16 + 16 + 61n = 45 + 16 Combine like terms: -16 + 16 = 0 0 + 61n = 45 + 16 61n = 45 + 16 Combine like terms: 45 + 16 = 61 61n = 61 Divide each side by '61'. n = 1 Simplifying n = 1
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