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Simplifying 5(-5n + -1) = -10(-4n + 7) Reorder the terms: 5(-1 + -5n) = -10(-4n + 7) (-1 * 5 + -5n * 5) = -10(-4n + 7) (-5 + -25n) = -10(-4n + 7) Reorder the terms: -5 + -25n = -10(7 + -4n) -5 + -25n = (7 * -10 + -4n * -10) -5 + -25n = (-70 + 40n) Solving -5 + -25n = -70 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -5 + -25n + -40n = -70 + 40n + -40n Combine like terms: -25n + -40n = -65n -5 + -65n = -70 + 40n + -40n Combine like terms: 40n + -40n = 0 -5 + -65n = -70 + 0 -5 + -65n = -70 Add '5' to each side of the equation. -5 + 5 + -65n = -70 + 5 Combine like terms: -5 + 5 = 0 0 + -65n = -70 + 5 -65n = -70 + 5 Combine like terms: -70 + 5 = -65 -65n = -65 Divide each side by '-65'. n = 1 Simplifying n = 1
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