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Simplifying -6n + 21 + -7n + 9 = n + -61 Reorder the terms: 21 + 9 + -6n + -7n = n + -61 Combine like terms: 21 + 9 = 30 30 + -6n + -7n = n + -61 Combine like terms: -6n + -7n = -13n 30 + -13n = n + -61 Reorder the terms: 30 + -13n = -61 + n Solving 30 + -13n = -61 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 30 + -13n + -1n = -61 + n + -1n Combine like terms: -13n + -1n = -14n 30 + -14n = -61 + n + -1n Combine like terms: n + -1n = 0 30 + -14n = -61 + 0 30 + -14n = -61 Add '-30' to each side of the equation. 30 + -30 + -14n = -61 + -30 Combine like terms: 30 + -30 = 0 0 + -14n = -61 + -30 -14n = -61 + -30 Combine like terms: -61 + -30 = -91 -14n = -91 Divide each side by '-14'. n = 6.5 Simplifying n = 6.5
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