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Simplifying 8 + -7(n + 3) = -3n + -5 Reorder the terms: 8 + -7(3 + n) = -3n + -5 8 + (3 * -7 + n * -7) = -3n + -5 8 + (-21 + -7n) = -3n + -5 Combine like terms: 8 + -21 = -13 -13 + -7n = -3n + -5 Reorder the terms: -13 + -7n = -5 + -3n Solving -13 + -7n = -5 + -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. -13 + -7n + 3n = -5 + -3n + 3n Combine like terms: -7n + 3n = -4n -13 + -4n = -5 + -3n + 3n Combine like terms: -3n + 3n = 0 -13 + -4n = -5 + 0 -13 + -4n = -5 Add '13' to each side of the equation. -13 + 13 + -4n = -5 + 13 Combine like terms: -13 + 13 = 0 0 + -4n = -5 + 13 -4n = -5 + 13 Combine like terms: -5 + 13 = 8 -4n = 8 Divide each side by '-4'. n = -2 Simplifying n = -2
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