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Simplifying 5n + -28 = 5(n + -7) + -1n Reorder the terms: -28 + 5n = 5(n + -7) + -1n Reorder the terms: -28 + 5n = 5(-7 + n) + -1n -28 + 5n = (-7 * 5 + n * 5) + -1n -28 + 5n = (-35 + 5n) + -1n Combine like terms: 5n + -1n = 4n -28 + 5n = -35 + 4n Solving -28 + 5n = -35 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -28 + 5n + -4n = -35 + 4n + -4n Combine like terms: 5n + -4n = 1n -28 + 1n = -35 + 4n + -4n Combine like terms: 4n + -4n = 0 -28 + 1n = -35 + 0 -28 + 1n = -35 Add '28' to each side of the equation. -28 + 28 + 1n = -35 + 28 Combine like terms: -28 + 28 = 0 0 + 1n = -35 + 28 1n = -35 + 28 Combine like terms: -35 + 28 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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