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Simplifying -15 + -3(1 + 14n) = -3(-14 + 4n) -15 + (1 * -3 + 14n * -3) = -3(-14 + 4n) -15 + (-3 + -42n) = -3(-14 + 4n) Combine like terms: -15 + -3 = -18 -18 + -42n = -3(-14 + 4n) -18 + -42n = (-14 * -3 + 4n * -3) -18 + -42n = (42 + -12n) Solving -18 + -42n = 42 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -18 + -42n + 12n = 42 + -12n + 12n Combine like terms: -42n + 12n = -30n -18 + -30n = 42 + -12n + 12n Combine like terms: -12n + 12n = 0 -18 + -30n = 42 + 0 -18 + -30n = 42 Add '18' to each side of the equation. -18 + 18 + -30n = 42 + 18 Combine like terms: -18 + 18 = 0 0 + -30n = 42 + 18 -30n = 42 + 18 Combine like terms: 42 + 18 = 60 -30n = 60 Divide each side by '-30'. n = -2 Simplifying n = -2
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