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Simplifying 13 + 4n = -6(-7 + -6n) + 3 13 + 4n = (-7 * -6 + -6n * -6) + 3 13 + 4n = (42 + 36n) + 3 Reorder the terms: 13 + 4n = 42 + 3 + 36n Combine like terms: 42 + 3 = 45 13 + 4n = 45 + 36n Solving 13 + 4n = 45 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 13 + 4n + -36n = 45 + 36n + -36n Combine like terms: 4n + -36n = -32n 13 + -32n = 45 + 36n + -36n Combine like terms: 36n + -36n = 0 13 + -32n = 45 + 0 13 + -32n = 45 Add '-13' to each side of the equation. 13 + -13 + -32n = 45 + -13 Combine like terms: 13 + -13 = 0 0 + -32n = 45 + -13 -32n = 45 + -13 Combine like terms: 45 + -13 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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