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Simplifying 5n + -28 = 3(4n + -7) Reorder the terms: -28 + 5n = 3(4n + -7) Reorder the terms: -28 + 5n = 3(-7 + 4n) -28 + 5n = (-7 * 3 + 4n * 3) -28 + 5n = (-21 + 12n) Solving -28 + 5n = -21 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -28 + 5n + -12n = -21 + 12n + -12n Combine like terms: 5n + -12n = -7n -28 + -7n = -21 + 12n + -12n Combine like terms: 12n + -12n = 0 -28 + -7n = -21 + 0 -28 + -7n = -21 Add '28' to each side of the equation. -28 + 28 + -7n = -21 + 28 Combine like terms: -28 + 28 = 0 0 + -7n = -21 + 28 -7n = -21 + 28 Combine like terms: -21 + 28 = 7 -7n = 7 Divide each side by '-7'. n = -1 Simplifying n = -1
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