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Simplifying -13n + -53 = -2(4n + -14) Reorder the terms: -53 + -13n = -2(4n + -14) Reorder the terms: -53 + -13n = -2(-14 + 4n) -53 + -13n = (-14 * -2 + 4n * -2) -53 + -13n = (28 + -8n) Solving -53 + -13n = 28 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -53 + -13n + 8n = 28 + -8n + 8n Combine like terms: -13n + 8n = -5n -53 + -5n = 28 + -8n + 8n Combine like terms: -8n + 8n = 0 -53 + -5n = 28 + 0 -53 + -5n = 28 Add '53' to each side of the equation. -53 + 53 + -5n = 28 + 53 Combine like terms: -53 + 53 = 0 0 + -5n = 28 + 53 -5n = 28 + 53 Combine like terms: 28 + 53 = 81 -5n = 81 Divide each side by '-5'. n = -16.2 Simplifying n = -16.2
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