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Simplifying -12 + 4n = -4 + 7(n + 1) Reorder the terms: -12 + 4n = -4 + 7(1 + n) -12 + 4n = -4 + (1 * 7 + n * 7) -12 + 4n = -4 + (7 + 7n) Combine like terms: -4 + 7 = 3 -12 + 4n = 3 + 7n Solving -12 + 4n = 3 + 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. -12 + 4n + -7n = 3 + 7n + -7n Combine like terms: 4n + -7n = -3n -12 + -3n = 3 + 7n + -7n Combine like terms: 7n + -7n = 0 -12 + -3n = 3 + 0 -12 + -3n = 3 Add '12' to each side of the equation. -12 + 12 + -3n = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -3n = 3 + 12 -3n = 3 + 12 Combine like terms: 3 + 12 = 15 -3n = 15 Divide each side by '-3'. n = -5 Simplifying n = -5
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