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Simplifying -37 + 7n = 6(4n + 8) Reorder the terms: -37 + 7n = 6(8 + 4n) -37 + 7n = (8 * 6 + 4n * 6) -37 + 7n = (48 + 24n) Solving -37 + 7n = 48 + 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 = 48 + 24n + -24n Combine like terms: 7n + -24n = -17n -37 + -17n = 48 + 24n + -24n Combine like terms: 24n + -24n = 0 -37 + -17n = 48 + 0 -37 + -17n = 48 Add '37' to each side of the equation. -37 + 37 + -17n = 48 + 37 Combine like terms: -37 + 37 = 0 0 + -17n = 48 + 37 -17n = 48 + 37 Combine like terms: 48 + 37 = 85 -17n = 85 Divide each side by '-17'. n = -5 Simplifying n = -5
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