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Simplifying 4(n + -7) = -21 + 5n Reorder the terms: 4(-7 + n) = -21 + 5n (-7 * 4 + n * 4) = -21 + 5n (-28 + 4n) = -21 + 5n Solving -28 + 4n = -21 + 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. -28 + 4n + -5n = -21 + 5n + -5n Combine like terms: 4n + -5n = -1n -28 + -1n = -21 + 5n + -5n Combine like terms: 5n + -5n = 0 -28 + -1n = -21 + 0 -28 + -1n = -21 Add '28' to each side of the equation. -28 + 28 + -1n = -21 + 28 Combine like terms: -28 + 28 = 0 0 + -1n = -21 + 28 -1n = -21 + 28 Combine like terms: -21 + 28 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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