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Simplifying 2n + 6 = 5(n + -3) Reorder the terms: 6 + 2n = 5(n + -3) Reorder the terms: 6 + 2n = 5(-3 + n) 6 + 2n = (-3 * 5 + n * 5) 6 + 2n = (-15 + 5n) Solving 6 + 2n = -15 + 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. 6 + 2n + -5n = -15 + 5n + -5n Combine like terms: 2n + -5n = -3n 6 + -3n = -15 + 5n + -5n Combine like terms: 5n + -5n = 0 6 + -3n = -15 + 0 6 + -3n = -15 Add '-6' to each side of the equation. 6 + -6 + -3n = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = -15 + -6 -3n = -15 + -6 Combine like terms: -15 + -6 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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