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Simplifying -4n + -19 = 6 + -7(n + 1) Reorder the terms: -19 + -4n = 6 + -7(n + 1) Reorder the terms: -19 + -4n = 6 + -7(1 + n) -19 + -4n = 6 + (1 * -7 + n * -7) -19 + -4n = 6 + (-7 + -7n) Combine like terms: 6 + -7 = -1 -19 + -4n = -1 + -7n Solving -19 + -4n = -1 + -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. -19 + -4n + 7n = -1 + -7n + 7n Combine like terms: -4n + 7n = 3n -19 + 3n = -1 + -7n + 7n Combine like terms: -7n + 7n = 0 -19 + 3n = -1 + 0 -19 + 3n = -1 Add '19' to each side of the equation. -19 + 19 + 3n = -1 + 19 Combine like terms: -19 + 19 = 0 0 + 3n = -1 + 19 3n = -1 + 19 Combine like terms: -1 + 19 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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