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Simplifying 2(n + -7) = 6(n + -3) Reorder the terms: 2(-7 + n) = 6(n + -3) (-7 * 2 + n * 2) = 6(n + -3) (-14 + 2n) = 6(n + -3) Reorder the terms: -14 + 2n = 6(-3 + n) -14 + 2n = (-3 * 6 + n * 6) -14 + 2n = (-18 + 6n) Solving -14 + 2n = -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. -14 + 2n + -6n = -18 + 6n + -6n Combine like terms: 2n + -6n = -4n -14 + -4n = -18 + 6n + -6n Combine like terms: 6n + -6n = 0 -14 + -4n = -18 + 0 -14 + -4n = -18 Add '14' to each side of the equation. -14 + 14 + -4n = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -4n = -18 + 14 -4n = -18 + 14 Combine like terms: -18 + 14 = -4 -4n = -4 Divide each side by '-4'. n = 1 Simplifying n = 1
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