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Simplifying 0.8 + -7n = 4(2n + -0.1) + -3n Reorder the terms: 0.8 + -7n = 4(-0.1 + 2n) + -3n 0.8 + -7n = (-0.1 * 4 + 2n * 4) + -3n 0.8 + -7n = (-0.4 + 8n) + -3n Combine like terms: 8n + -3n = 5n 0.8 + -7n = -0.4 + 5n Solving 0.8 + -7n = -0.4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 0.8 + -7n + -5n = -0.4 + 5n + -5n Combine like terms: -7n + -5n = -12n 0.8 + -12n = -0.4 + 5n + -5n Combine like terms: 5n + -5n = 0 0.8 + -12n = -0.4 + 0 0.8 + -12n = -0.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -12n = -0.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -12n = -0.4 + -0.8 -12n = -0.4 + -0.8 Combine like terms: -0.4 + -0.8 = -1.2 -12n = -1.2 Divide each side by '-12'. n = 0.1 Simplifying n = 0.1
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