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Simplifying -4 + -7n = 6(n + -5) Reorder the terms: -4 + -7n = 6(-5 + n) -4 + -7n = (-5 * 6 + n * 6) -4 + -7n = (-30 + 6n) Solving -4 + -7n = -30 + 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. -4 + -7n + -6n = -30 + 6n + -6n Combine like terms: -7n + -6n = -13n -4 + -13n = -30 + 6n + -6n Combine like terms: 6n + -6n = 0 -4 + -13n = -30 + 0 -4 + -13n = -30 Add '4' to each side of the equation. -4 + 4 + -13n = -30 + 4 Combine like terms: -4 + 4 = 0 0 + -13n = -30 + 4 -13n = -30 + 4 Combine like terms: -30 + 4 = -26 -13n = -26 Divide each side by '-13'. n = 2 Simplifying n = 2
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