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Simplifying 10 + 4n + -4 = 5n + -7 Reorder the terms: 10 + -4 + 4n = 5n + -7 Combine like terms: 10 + -4 = 6 6 + 4n = 5n + -7 Reorder the terms: 6 + 4n = -7 + 5n Solving 6 + 4n = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 6 + 4n + -5n = -7 + 5n + -5n Combine like terms: 4n + -5n = -1n 6 + -1n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 6 + -1n = -7 + 0 6 + -1n = -7 Add '-6' to each side of the equation. 6 + -6 + -1n = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = -7 + -6 -1n = -7 + -6 Combine like terms: -7 + -6 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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