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Simplifying 0.1(2n + -7) = 7 + -0.35n Reorder the terms: 0.1(-7 + 2n) = 7 + -0.35n (-7 * 0.1 + 2n * 0.1) = 7 + -0.35n (-0.7 + 0.2n) = 7 + -0.35n Solving -0.7 + 0.2n = 7 + -0.35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.35n' to each side of the equation. -0.7 + 0.2n + 0.35n = 7 + -0.35n + 0.35n Combine like terms: 0.2n + 0.35n = 0.55n -0.7 + 0.55n = 7 + -0.35n + 0.35n Combine like terms: -0.35n + 0.35n = 0.00 -0.7 + 0.55n = 7 + 0.00 -0.7 + 0.55n = 7 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.55n = 7 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.55n = 7 + 0.7 0.55n = 7 + 0.7 Combine like terms: 7 + 0.7 = 7.7 0.55n = 7.7 Divide each side by '0.55'. n = 14 Simplifying n = 14
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