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Simplifying -4n + -2(5n + 6) = -7n + 9 Reorder the terms: -4n + -2(6 + 5n) = -7n + 9 -4n + (6 * -2 + 5n * -2) = -7n + 9 -4n + (-12 + -10n) = -7n + 9 Reorder the terms: -12 + -4n + -10n = -7n + 9 Combine like terms: -4n + -10n = -14n -12 + -14n = -7n + 9 Reorder the terms: -12 + -14n = 9 + -7n Solving -12 + -14n = 9 + -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. -12 + -14n + 7n = 9 + -7n + 7n Combine like terms: -14n + 7n = -7n -12 + -7n = 9 + -7n + 7n Combine like terms: -7n + 7n = 0 -12 + -7n = 9 + 0 -12 + -7n = 9 Add '12' to each side of the equation. -12 + 12 + -7n = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -7n = 9 + 12 -7n = 9 + 12 Combine like terms: 9 + 12 = 21 -7n = 21 Divide each side by '-7'. n = -3 Simplifying n = -3
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