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Simplifying -5 + 4n = -5 + 7(n + 3) Reorder the terms: -5 + 4n = -5 + 7(3 + n) -5 + 4n = -5 + (3 * 7 + n * 7) -5 + 4n = -5 + (21 + 7n) Combine like terms: -5 + 21 = 16 -5 + 4n = 16 + 7n Solving -5 + 4n = 16 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -5 + 4n + -7n = 16 + 7n + -7n Combine like terms: 4n + -7n = -3n -5 + -3n = 16 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + -3n = 16 + 0 -5 + -3n = 16 Add '5' to each side of the equation. -5 + 5 + -3n = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -3n = 16 + 5 -3n = 16 + 5 Combine like terms: 16 + 5 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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