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Simplifying -11 + -3n = -6 + 5(3n + -7) Reorder the terms: -11 + -3n = -6 + 5(-7 + 3n) -11 + -3n = -6 + (-7 * 5 + 3n * 5) -11 + -3n = -6 + (-35 + 15n) Combine like terms: -6 + -35 = -41 -11 + -3n = -41 + 15n Solving -11 + -3n = -41 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -11 + -3n + -15n = -41 + 15n + -15n Combine like terms: -3n + -15n = -18n -11 + -18n = -41 + 15n + -15n Combine like terms: 15n + -15n = 0 -11 + -18n = -41 + 0 -11 + -18n = -41 Add '11' to each side of the equation. -11 + 11 + -18n = -41 + 11 Combine like terms: -11 + 11 = 0 0 + -18n = -41 + 11 -18n = -41 + 11 Combine like terms: -41 + 11 = -30 -18n = -30 Divide each side by '-18'. n = 1.666666667 Simplifying n = 1.666666667
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