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Simplifying n + 6.1n + 0.8 = 4(n + -2.9) Reorder the terms: 0.8 + n + 6.1n = 4(n + -2.9) Combine like terms: n + 6.1n = 7.1n 0.8 + 7.1n = 4(n + -2.9) Reorder the terms: 0.8 + 7.1n = 4(-2.9 + n) 0.8 + 7.1n = (-2.9 * 4 + n * 4) 0.8 + 7.1n = (-11.6 + 4n) Solving 0.8 + 7.1n = -11.6 + 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. 0.8 + 7.1n + -4n = -11.6 + 4n + -4n Combine like terms: 7.1n + -4n = 3.1n 0.8 + 3.1n = -11.6 + 4n + -4n Combine like terms: 4n + -4n = 0 0.8 + 3.1n = -11.6 + 0 0.8 + 3.1n = -11.6 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 3.1n = -11.6 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 3.1n = -11.6 + -0.8 3.1n = -11.6 + -0.8 Combine like terms: -11.6 + -0.8 = -12.4 3.1n = -12.4 Divide each side by '3.1'. n = -4 Simplifying n = -4
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