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Simplifying -6n + -13 = -7(n + 3) Reorder the terms: -13 + -6n = -7(n + 3) Reorder the terms: -13 + -6n = -7(3 + n) -13 + -6n = (3 * -7 + n * -7) -13 + -6n = (-21 + -7n) Solving -13 + -6n = -21 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -13 + -6n + 7n = -21 + -7n + 7n Combine like terms: -6n + 7n = 1n -13 + 1n = -21 + -7n + 7n Combine like terms: -7n + 7n = 0 -13 + 1n = -21 + 0 -13 + 1n = -21 Add '13' to each side of the equation. -13 + 13 + 1n = -21 + 13 Combine like terms: -13 + 13 = 0 0 + 1n = -21 + 13 1n = -21 + 13 Combine like terms: -21 + 13 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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