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Simplifying 5n + -8 + -4n = -10 + 2n Reorder the terms: -8 + 5n + -4n = -10 + 2n Combine like terms: 5n + -4n = 1n -8 + 1n = -10 + 2n Solving -8 + 1n = -10 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -8 + 1n + -2n = -10 + 2n + -2n Combine like terms: 1n + -2n = -1n -8 + -1n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + -1n = -10 + 0 -8 + -1n = -10 Add '8' to each side of the equation. -8 + 8 + -1n = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = -10 + 8 -1n = -10 + 8 Combine like terms: -10 + 8 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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