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Simplifying -7n + -37 = -3(8n + -5) + -1 Reorder the terms: -37 + -7n = -3(8n + -5) + -1 Reorder the terms: -37 + -7n = -3(-5 + 8n) + -1 -37 + -7n = (-5 * -3 + 8n * -3) + -1 -37 + -7n = (15 + -24n) + -1 Reorder the terms: -37 + -7n = 15 + -1 + -24n Combine like terms: 15 + -1 = 14 -37 + -7n = 14 + -24n Solving -37 + -7n = 14 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -37 + -7n + 24n = 14 + -24n + 24n Combine like terms: -7n + 24n = 17n -37 + 17n = 14 + -24n + 24n Combine like terms: -24n + 24n = 0 -37 + 17n = 14 + 0 -37 + 17n = 14 Add '37' to each side of the equation. -37 + 37 + 17n = 14 + 37 Combine like terms: -37 + 37 = 0 0 + 17n = 14 + 37 17n = 14 + 37 Combine like terms: 14 + 37 = 51 17n = 51 Divide each side by '17'. n = 3 Simplifying n = 3
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