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Simplifying -4n + 14 + -9n + 7 = n + -70 Reorder the terms: 14 + 7 + -4n + -9n = n + -70 Combine like terms: 14 + 7 = 21 21 + -4n + -9n = n + -70 Combine like terms: -4n + -9n = -13n 21 + -13n = n + -70 Reorder the terms: 21 + -13n = -70 + n Solving 21 + -13n = -70 + 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. 21 + -13n + -1n = -70 + n + -1n Combine like terms: -13n + -1n = -14n 21 + -14n = -70 + n + -1n Combine like terms: n + -1n = 0 21 + -14n = -70 + 0 21 + -14n = -70 Add '-21' to each side of the equation. 21 + -21 + -14n = -70 + -21 Combine like terms: 21 + -21 = 0 0 + -14n = -70 + -21 -14n = -70 + -21 Combine like terms: -70 + -21 = -91 -14n = -91 Divide each side by '-14'. n = 6.5 Simplifying n = 6.5
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