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Simplifying -13 + -7n = -6(n + 3) Reorder the terms: -13 + -7n = -6(3 + n) -13 + -7n = (3 * -6 + n * -6) -13 + -7n = (-18 + -6n) Solving -13 + -7n = -18 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -13 + -7n + 6n = -18 + -6n + 6n Combine like terms: -7n + 6n = -1n -13 + -1n = -18 + -6n + 6n Combine like terms: -6n + 6n = 0 -13 + -1n = -18 + 0 -13 + -1n = -18 Add '13' to each side of the equation. -13 + 13 + -1n = -18 + 13 Combine like terms: -13 + 13 = 0 0 + -1n = -18 + 13 -1n = -18 + 13 Combine like terms: -18 + 13 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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