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Simplifying 0.7n + -7 = 0.3n + -5 Reorder the terms: -7 + 0.7n = 0.3n + -5 Reorder the terms: -7 + 0.7n = -5 + 0.3n Solving -7 + 0.7n = -5 + 0.3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.3n' to each side of the equation. -7 + 0.7n + -0.3n = -5 + 0.3n + -0.3n Combine like terms: 0.7n + -0.3n = 0.4n -7 + 0.4n = -5 + 0.3n + -0.3n Combine like terms: 0.3n + -0.3n = 0.0 -7 + 0.4n = -5 + 0.0 -7 + 0.4n = -5 Add '7' to each side of the equation. -7 + 7 + 0.4n = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 0.4n = -5 + 7 0.4n = -5 + 7 Combine like terms: -5 + 7 = 2 0.4n = 2 Divide each side by '0.4'. n = 5 Simplifying n = 5
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