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Simplifying n + 6.9n + -1.5 = 4(n + -3.3) Reorder the terms: -1.5 + n + 6.9n = 4(n + -3.3) Combine like terms: n + 6.9n = 7.9n -1.5 + 7.9n = 4(n + -3.3) Reorder the terms: -1.5 + 7.9n = 4(-3.3 + n) -1.5 + 7.9n = (-3.3 * 4 + n * 4) -1.5 + 7.9n = (-13.2 + 4n) Solving -1.5 + 7.9n = -13.2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -1.5 + 7.9n + -4n = -13.2 + 4n + -4n Combine like terms: 7.9n + -4n = 3.9n -1.5 + 3.9n = -13.2 + 4n + -4n Combine like terms: 4n + -4n = 0 -1.5 + 3.9n = -13.2 + 0 -1.5 + 3.9n = -13.2 Add '1.5' to each side of the equation. -1.5 + 1.5 + 3.9n = -13.2 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 3.9n = -13.2 + 1.5 3.9n = -13.2 + 1.5 Combine like terms: -13.2 + 1.5 = -11.7 3.9n = -11.7 Divide each side by '3.9'. n = -3 Simplifying n = -3
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