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Simplifying 6 + -16 + 5n = -7(-6 + 8n) + 3 Combine like terms: 6 + -16 = -10 -10 + 5n = -7(-6 + 8n) + 3 -10 + 5n = (-6 * -7 + 8n * -7) + 3 -10 + 5n = (42 + -56n) + 3 Reorder the terms: -10 + 5n = 42 + 3 + -56n Combine like terms: 42 + 3 = 45 -10 + 5n = 45 + -56n Solving -10 + 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. -10 + 5n + 56n = 45 + -56n + 56n Combine like terms: 5n + 56n = 61n -10 + 61n = 45 + -56n + 56n Combine like terms: -56n + 56n = 0 -10 + 61n = 45 + 0 -10 + 61n = 45 Add '10' to each side of the equation. -10 + 10 + 61n = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 61n = 45 + 10 61n = 45 + 10 Combine like terms: 45 + 10 = 55 61n = 55 Divide each side by '61'. n = 0.9016393443 Simplifying n = 0.9016393443
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