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Simplifying 14(n + 7) = 3(n + -4) Reorder the terms: 14(7 + n) = 3(n + -4) (7 * 14 + n * 14) = 3(n + -4) (98 + 14n) = 3(n + -4) Reorder the terms: 98 + 14n = 3(-4 + n) 98 + 14n = (-4 * 3 + n * 3) 98 + 14n = (-12 + 3n) Solving 98 + 14n = -12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 98 + 14n + -3n = -12 + 3n + -3n Combine like terms: 14n + -3n = 11n 98 + 11n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 98 + 11n = -12 + 0 98 + 11n = -12 Add '-98' to each side of the equation. 98 + -98 + 11n = -12 + -98 Combine like terms: 98 + -98 = 0 0 + 11n = -12 + -98 11n = -12 + -98 Combine like terms: -12 + -98 = -110 11n = -110 Divide each side by '11'. n = -10 Simplifying n = -10
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