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Simplifying 5n + -4(1 + n) = 2n + -10 5n + (1 * -4 + n * -4) = 2n + -10 5n + (-4 + -4n) = 2n + -10 Reorder the terms: -4 + 5n + -4n = 2n + -10 Combine like terms: 5n + -4n = 1n -4 + 1n = 2n + -10 Reorder the terms: -4 + 1n = -10 + 2n Solving -4 + 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. -4 + 1n + -2n = -10 + 2n + -2n Combine like terms: 1n + -2n = -1n -4 + -1n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 -4 + -1n = -10 + 0 -4 + -1n = -10 Add '4' to each side of the equation. -4 + 4 + -1n = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = -10 + 4 -1n = -10 + 4 Combine like terms: -10 + 4 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6
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