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Simplifying 16 + -5(5n + 45) = -2n + -14 Reorder the terms: 16 + -5(45 + 5n) = -2n + -14 16 + (45 * -5 + 5n * -5) = -2n + -14 16 + (-225 + -25n) = -2n + -14 Combine like terms: 16 + -225 = -209 -209 + -25n = -2n + -14 Reorder the terms: -209 + -25n = -14 + -2n Solving -209 + -25n = -14 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -209 + -25n + 2n = -14 + -2n + 2n Combine like terms: -25n + 2n = -23n -209 + -23n = -14 + -2n + 2n Combine like terms: -2n + 2n = 0 -209 + -23n = -14 + 0 -209 + -23n = -14 Add '209' to each side of the equation. -209 + 209 + -23n = -14 + 209 Combine like terms: -209 + 209 = 0 0 + -23n = -14 + 209 -23n = -14 + 209 Combine like terms: -14 + 209 = 195 -23n = 195 Divide each side by '-23'. n = -8.47826087 Simplifying n = -8.47826087
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