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Simplifying -4.7(n + 0.4) = -12.88 + -2.5n Reorder the terms: -4.7(0.4 + n) = -12.88 + -2.5n (0.4 * -4.7 + n * -4.7) = -12.88 + -2.5n (-1.88 + -4.7n) = -12.88 + -2.5n Solving -1.88 + -4.7n = -12.88 + -2.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.5n' to each side of the equation. -1.88 + -4.7n + 2.5n = -12.88 + -2.5n + 2.5n Combine like terms: -4.7n + 2.5n = -2.2n -1.88 + -2.2n = -12.88 + -2.5n + 2.5n Combine like terms: -2.5n + 2.5n = 0.0 -1.88 + -2.2n = -12.88 + 0.0 -1.88 + -2.2n = -12.88 Add '1.88' to each side of the equation. -1.88 + 1.88 + -2.2n = -12.88 + 1.88 Combine like terms: -1.88 + 1.88 = 0.00 0.00 + -2.2n = -12.88 + 1.88 -2.2n = -12.88 + 1.88 Combine like terms: -12.88 + 1.88 = -11 -2.2n = -11 Divide each side by '-2.2'. n = 5 Simplifying n = 5
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