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Simplifying 7n + -4 = 6(6n + 8) Reorder the terms: -4 + 7n = 6(6n + 8) Reorder the terms: -4 + 7n = 6(8 + 6n) -4 + 7n = (8 * 6 + 6n * 6) -4 + 7n = (48 + 36n) Solving -4 + 7n = 48 + 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. -4 + 7n + -36n = 48 + 36n + -36n Combine like terms: 7n + -36n = -29n -4 + -29n = 48 + 36n + -36n Combine like terms: 36n + -36n = 0 -4 + -29n = 48 + 0 -4 + -29n = 48 Add '4' to each side of the equation. -4 + 4 + -29n = 48 + 4 Combine like terms: -4 + 4 = 0 0 + -29n = 48 + 4 -29n = 48 + 4 Combine like terms: 48 + 4 = 52 -29n = 52 Divide each side by '-29'. n = -1.793103448 Simplifying n = -1.793103448
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