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Simplifying -5(n + 7) = -37 + -3n Reorder the terms: -5(7 + n) = -37 + -3n (7 * -5 + n * -5) = -37 + -3n (-35 + -5n) = -37 + -3n Solving -35 + -5n = -37 + -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. -35 + -5n + 3n = -37 + -3n + 3n Combine like terms: -5n + 3n = -2n -35 + -2n = -37 + -3n + 3n Combine like terms: -3n + 3n = 0 -35 + -2n = -37 + 0 -35 + -2n = -37 Add '35' to each side of the equation. -35 + 35 + -2n = -37 + 35 Combine like terms: -35 + 35 = 0 0 + -2n = -37 + 35 -2n = -37 + 35 Combine like terms: -37 + 35 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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