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Simplifying 36 + 7n = -7 + 6(4n + -7) Reorder the terms: 36 + 7n = -7 + 6(-7 + 4n) 36 + 7n = -7 + (-7 * 6 + 4n * 6) 36 + 7n = -7 + (-42 + 24n) Combine like terms: -7 + -42 = -49 36 + 7n = -49 + 24n Solving 36 + 7n = -49 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 36 + 7n + -24n = -49 + 24n + -24n Combine like terms: 7n + -24n = -17n 36 + -17n = -49 + 24n + -24n Combine like terms: 24n + -24n = 0 36 + -17n = -49 + 0 36 + -17n = -49 Add '-36' to each side of the equation. 36 + -36 + -17n = -49 + -36 Combine like terms: 36 + -36 = 0 0 + -17n = -49 + -36 -17n = -49 + -36 Combine like terms: -49 + -36 = -85 -17n = -85 Divide each side by '-17'. n = 5 Simplifying n = 5
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