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Simplifying 5(-3 + -6n) + -7(n + 6) = 0 (-3 * 5 + -6n * 5) + -7(n + 6) = 0 (-15 + -30n) + -7(n + 6) = 0 Reorder the terms: -15 + -30n + -7(6 + n) = 0 -15 + -30n + (6 * -7 + n * -7) = 0 -15 + -30n + (-42 + -7n) = 0 Reorder the terms: -15 + -42 + -30n + -7n = 0 Combine like terms: -15 + -42 = -57 -57 + -30n + -7n = 0 Combine like terms: -30n + -7n = -37n -57 + -37n = 0 Solving -57 + -37n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -37n = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -37n = 0 + 57 -37n = 0 + 57 Combine like terms: 0 + 57 = 57 -37n = 57 Divide each side by '-37'. n = -1.540540541 Simplifying n = -1.540540541
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