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Simplifying -19 + 4n = -7(1 + -1n) + -3 -19 + 4n = (1 * -7 + -1n * -7) + -3 -19 + 4n = (-7 + 7n) + -3 Reorder the terms: -19 + 4n = -7 + -3 + 7n Combine like terms: -7 + -3 = -10 -19 + 4n = -10 + 7n Solving -19 + 4n = -10 + 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 = -10 + 7n + -7n Combine like terms: 4n + -7n = -3n -19 + -3n = -10 + 7n + -7n Combine like terms: 7n + -7n = 0 -19 + -3n = -10 + 0 -19 + -3n = -10 Add '19' to each side of the equation. -19 + 19 + -3n = -10 + 19 Combine like terms: -19 + 19 = 0 0 + -3n = -10 + 19 -3n = -10 + 19 Combine like terms: -10 + 19 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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