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Simplifying 4n + -19 = -8(5n + 7) + 7 Reorder the terms: -19 + 4n = -8(5n + 7) + 7 Reorder the terms: -19 + 4n = -8(7 + 5n) + 7 -19 + 4n = (7 * -8 + 5n * -8) + 7 -19 + 4n = (-56 + -40n) + 7 Reorder the terms: -19 + 4n = -56 + 7 + -40n Combine like terms: -56 + 7 = -49 -19 + 4n = -49 + -40n Solving -19 + 4n = -49 + -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. -19 + 4n + 40n = -49 + -40n + 40n Combine like terms: 4n + 40n = 44n -19 + 44n = -49 + -40n + 40n Combine like terms: -40n + 40n = 0 -19 + 44n = -49 + 0 -19 + 44n = -49 Add '19' to each side of the equation. -19 + 19 + 44n = -49 + 19 Combine like terms: -19 + 19 = 0 0 + 44n = -49 + 19 44n = -49 + 19 Combine like terms: -49 + 19 = -30 44n = -30 Divide each side by '44'. n = -0.6818181818 Simplifying n = -0.6818181818
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