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Simplifying -2 + -7(8n + 5) = 16 + -3n Reorder the terms: -2 + -7(5 + 8n) = 16 + -3n -2 + (5 * -7 + 8n * -7) = 16 + -3n -2 + (-35 + -56n) = 16 + -3n Combine like terms: -2 + -35 = -37 -37 + -56n = 16 + -3n Solving -37 + -56n = 16 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -37 + -56n + 3n = 16 + -3n + 3n Combine like terms: -56n + 3n = -53n -37 + -53n = 16 + -3n + 3n Combine like terms: -3n + 3n = 0 -37 + -53n = 16 + 0 -37 + -53n = 16 Add '37' to each side of the equation. -37 + 37 + -53n = 16 + 37 Combine like terms: -37 + 37 = 0 0 + -53n = 16 + 37 -53n = 16 + 37 Combine like terms: 16 + 37 = 53 -53n = 53 Divide each side by '-53'. n = -1 Simplifying n = -1
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