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Simplifying 3n + -21 = 2 + 5(n + -7) Reorder the terms: -21 + 3n = 2 + 5(n + -7) Reorder the terms: -21 + 3n = 2 + 5(-7 + n) -21 + 3n = 2 + (-7 * 5 + n * 5) -21 + 3n = 2 + (-35 + 5n) Combine like terms: 2 + -35 = -33 -21 + 3n = -33 + 5n Solving -21 + 3n = -33 + 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. -21 + 3n + -5n = -33 + 5n + -5n Combine like terms: 3n + -5n = -2n -21 + -2n = -33 + 5n + -5n Combine like terms: 5n + -5n = 0 -21 + -2n = -33 + 0 -21 + -2n = -33 Add '21' to each side of the equation. -21 + 21 + -2n = -33 + 21 Combine like terms: -21 + 21 = 0 0 + -2n = -33 + 21 -2n = -33 + 21 Combine like terms: -33 + 21 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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