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Simplifying 6 + 4(n + -4) = 5n + -18 Reorder the terms: 6 + 4(-4 + n) = 5n + -18 6 + (-4 * 4 + n * 4) = 5n + -18 6 + (-16 + 4n) = 5n + -18 Combine like terms: 6 + -16 = -10 -10 + 4n = 5n + -18 Reorder the terms: -10 + 4n = -18 + 5n Solving -10 + 4n = -18 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -10 + 4n + -5n = -18 + 5n + -5n Combine like terms: 4n + -5n = -1n -10 + -1n = -18 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + -1n = -18 + 0 -10 + -1n = -18 Add '10' to each side of the equation. -10 + 10 + -1n = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = -18 + 10 -1n = -18 + 10 Combine like terms: -18 + 10 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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