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Simplifying -4n + -1 = 5 + 5(5n + -7) Reorder the terms: -1 + -4n = 5 + 5(5n + -7) Reorder the terms: -1 + -4n = 5 + 5(-7 + 5n) -1 + -4n = 5 + (-7 * 5 + 5n * 5) -1 + -4n = 5 + (-35 + 25n) Combine like terms: 5 + -35 = -30 -1 + -4n = -30 + 25n Solving -1 + -4n = -30 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -1 + -4n + -25n = -30 + 25n + -25n Combine like terms: -4n + -25n = -29n -1 + -29n = -30 + 25n + -25n Combine like terms: 25n + -25n = 0 -1 + -29n = -30 + 0 -1 + -29n = -30 Add '1' to each side of the equation. -1 + 1 + -29n = -30 + 1 Combine like terms: -1 + 1 = 0 0 + -29n = -30 + 1 -29n = -30 + 1 Combine like terms: -30 + 1 = -29 -29n = -29 Divide each side by '-29'. n = 1 Simplifying n = 1
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