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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 = 42 + 3 + -5n + -56n Combine like terms: 42 + 3 = 45 -16 = 45 + -5n + -56n Combine like terms: -5n + -56n = -61n -16 = 45 + -61n Solving -16 = 45 + -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. -16 + 61n = 45 + -61n + 61n Combine like terms: -61n + 61n = 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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