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Simplifying 2.6 + 0.9n = -1(-1n + -2.1) Reorder the terms: 2.6 + 0.9n = -1(-2.1 + -1n) 2.6 + 0.9n = (-2.1 * -1 + -1n * -1) 2.6 + 0.9n = (2.1 + 1n) Solving 2.6 + 0.9n = 2.1 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 2.6 + 0.9n + -1n = 2.1 + 1n + -1n Combine like terms: 0.9n + -1n = -0.1n 2.6 + -0.1n = 2.1 + 1n + -1n Combine like terms: 1n + -1n = 0 2.6 + -0.1n = 2.1 + 0 2.6 + -0.1n = 2.1 Add '-2.6' to each side of the equation. 2.6 + -2.6 + -0.1n = 2.1 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -0.1n = 2.1 + -2.6 -0.1n = 2.1 + -2.6 Combine like terms: 2.1 + -2.6 = -0.5 -0.1n = -0.5 Divide each side by '-0.1'. n = 5 Simplifying n = 5
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