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Simplifying -5(76n + 16) = -25(-2n + -100) Reorder the terms: -5(16 + 76n) = -25(-2n + -100) (16 * -5 + 76n * -5) = -25(-2n + -100) (-80 + -380n) = -25(-2n + -100) Reorder the terms: -80 + -380n = -25(-100 + -2n) -80 + -380n = (-100 * -25 + -2n * -25) -80 + -380n = (2500 + 50n) Solving -80 + -380n = 2500 + 50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-50n' to each side of the equation. -80 + -380n + -50n = 2500 + 50n + -50n Combine like terms: -380n + -50n = -430n -80 + -430n = 2500 + 50n + -50n Combine like terms: 50n + -50n = 0 -80 + -430n = 2500 + 0 -80 + -430n = 2500 Add '80' to each side of the equation. -80 + 80 + -430n = 2500 + 80 Combine like terms: -80 + 80 = 0 0 + -430n = 2500 + 80 -430n = 2500 + 80 Combine like terms: 2500 + 80 = 2580 -430n = 2580 Divide each side by '-430'. n = -6 Simplifying n = -6
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