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Simplifying 5(n + -5) + 37 = 4(n + -1) Reorder the terms: 5(-5 + n) + 37 = 4(n + -1) (-5 * 5 + n * 5) + 37 = 4(n + -1) (-25 + 5n) + 37 = 4(n + -1) Reorder the terms: -25 + 37 + 5n = 4(n + -1) Combine like terms: -25 + 37 = 12 12 + 5n = 4(n + -1) Reorder the terms: 12 + 5n = 4(-1 + n) 12 + 5n = (-1 * 4 + n * 4) 12 + 5n = (-4 + 4n) Solving 12 + 5n = -4 + 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. 12 + 5n + -4n = -4 + 4n + -4n Combine like terms: 5n + -4n = 1n 12 + 1n = -4 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + 1n = -4 + 0 12 + 1n = -4 Add '-12' to each side of the equation. 12 + -12 + 1n = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = -4 + -12 1n = -4 + -12 Combine like terms: -4 + -12 = -16 1n = -16 Divide each side by '1'. n = -16 Simplifying n = -16
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