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Simplifying -19 = -1(-5n + 4) + -1(n + 7) Reorder the terms: -19 = -1(4 + -5n) + -1(n + 7) -19 = (4 * -1 + -5n * -1) + -1(n + 7) -19 = (-4 + 5n) + -1(n + 7) Reorder the terms: -19 = -4 + 5n + -1(7 + n) -19 = -4 + 5n + (7 * -1 + n * -1) -19 = -4 + 5n + (-7 + -1n) Reorder the terms: -19 = -4 + -7 + 5n + -1n Combine like terms: -4 + -7 = -11 -19 = -11 + 5n + -1n Combine like terms: 5n + -1n = 4n -19 = -11 + 4n Solving -19 = -11 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -19 + -4n = -11 + 4n + -4n Combine like terms: 4n + -4n = 0 -19 + -4n = -11 + 0 -19 + -4n = -11 Add '19' to each side of the equation. -19 + 19 + -4n = -11 + 19 Combine like terms: -19 + 19 = 0 0 + -4n = -11 + 19 -4n = -11 + 19 Combine like terms: -11 + 19 = 8 -4n = 8 Divide each side by '-4'. n = -2 Simplifying n = -2
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