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Simplifying 3n + -37 = 4(n + -8) Reorder the terms: -37 + 3n = 4(n + -8) Reorder the terms: -37 + 3n = 4(-8 + n) -37 + 3n = (-8 * 4 + n * 4) -37 + 3n = (-32 + 4n) Solving -37 + 3n = -32 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -37 + 3n + -4n = -32 + 4n + -4n Combine like terms: 3n + -4n = -1n -37 + -1n = -32 + 4n + -4n Combine like terms: 4n + -4n = 0 -37 + -1n = -32 + 0 -37 + -1n = -32 Add '37' to each side of the equation. -37 + 37 + -1n = -32 + 37 Combine like terms: -37 + 37 = 0 0 + -1n = -32 + 37 -1n = -32 + 37 Combine like terms: -32 + 37 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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