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Simplifying 0.2n + 0.5 = 0.67(n + 3) Reorder the terms: 0.5 + 0.2n = 0.67(n + 3) Reorder the terms: 0.5 + 0.2n = 0.67(3 + n) 0.5 + 0.2n = (3 * 0.67 + n * 0.67) 0.5 + 0.2n = (2.01 + 0.67n) Solving 0.5 + 0.2n = 2.01 + 0.67n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.67n' to each side of the equation. 0.5 + 0.2n + -0.67n = 2.01 + 0.67n + -0.67n Combine like terms: 0.2n + -0.67n = -0.47n 0.5 + -0.47n = 2.01 + 0.67n + -0.67n Combine like terms: 0.67n + -0.67n = 0.00 0.5 + -0.47n = 2.01 + 0.00 0.5 + -0.47n = 2.01 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.47n = 2.01 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.47n = 2.01 + -0.5 -0.47n = 2.01 + -0.5 Combine like terms: 2.01 + -0.5 = 1.51 -0.47n = 1.51 Divide each side by '-0.47'. n = -3.212765957 Simplifying n = -3.212765957
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