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Simplifying -0.67(n + 3) = 0.125(n + 0.67) Reorder the terms: -0.67(3 + n) = 0.125(n + 0.67) (3 * -0.67 + n * -0.67) = 0.125(n + 0.67) (-2.01 + -0.67n) = 0.125(n + 0.67) Reorder the terms: -2.01 + -0.67n = 0.125(0.67 + n) -2.01 + -0.67n = (0.67 * 0.125 + n * 0.125) -2.01 + -0.67n = (0.08375 + 0.125n) Solving -2.01 + -0.67n = 0.08375 + 0.125n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.125n' to each side of the equation. -2.01 + -0.67n + -0.125n = 0.08375 + 0.125n + -0.125n Combine like terms: -0.67n + -0.125n = -0.795n -2.01 + -0.795n = 0.08375 + 0.125n + -0.125n Combine like terms: 0.125n + -0.125n = 0.000 -2.01 + -0.795n = 0.08375 + 0.000 -2.01 + -0.795n = 0.08375 Add '2.01' to each side of the equation. -2.01 + 2.01 + -0.795n = 0.08375 + 2.01 Combine like terms: -2.01 + 2.01 = 0.00 0.00 + -0.795n = 0.08375 + 2.01 -0.795n = 0.08375 + 2.01 Combine like terms: 0.08375 + 2.01 = 2.09375 -0.795n = 2.09375 Divide each side by '-0.795'. n = -2.633647799 Simplifying n = -2.633647799
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