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Simplifying -7.4(5.2 + -28n) + -9.95 = 30.6(n + -11.6) (5.2 * -7.4 + -28n * -7.4) + -9.95 = 30.6(n + -11.6) (-38.48 + 207.2n) + -9.95 = 30.6(n + -11.6) Reorder the terms: -38.48 + -9.95 + 207.2n = 30.6(n + -11.6) Combine like terms: -38.48 + -9.95 = -48.43 -48.43 + 207.2n = 30.6(n + -11.6) Reorder the terms: -48.43 + 207.2n = 30.6(-11.6 + n) -48.43 + 207.2n = (-11.6 * 30.6 + n * 30.6) -48.43 + 207.2n = (-354.96 + 30.6n) Solving -48.43 + 207.2n = -354.96 + 30.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30.6n' to each side of the equation. -48.43 + 207.2n + -30.6n = -354.96 + 30.6n + -30.6n Combine like terms: 207.2n + -30.6n = 176.6n -48.43 + 176.6n = -354.96 + 30.6n + -30.6n Combine like terms: 30.6n + -30.6n = 0.0 -48.43 + 176.6n = -354.96 + 0.0 -48.43 + 176.6n = -354.96 Add '48.43' to each side of the equation. -48.43 + 48.43 + 176.6n = -354.96 + 48.43 Combine like terms: -48.43 + 48.43 = 0.00 0.00 + 176.6n = -354.96 + 48.43 176.6n = -354.96 + 48.43 Combine like terms: -354.96 + 48.43 = -306.53 176.6n = -306.53 Divide each side by '176.6'. n = -1.735730464 Simplifying n = -1.735730464
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