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Simplifying -8.2 + 22.2n = -1.4(7n + 3) Reorder the terms: -8.2 + 22.2n = -1.4(3 + 7n) -8.2 + 22.2n = (3 * -1.4 + 7n * -1.4) -8.2 + 22.2n = (-4.2 + -9.8n) Solving -8.2 + 22.2n = -4.2 + -9.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9.8n' to each side of the equation. -8.2 + 22.2n + 9.8n = -4.2 + -9.8n + 9.8n Combine like terms: 22.2n + 9.8n = 32n -8.2 + 32n = -4.2 + -9.8n + 9.8n Combine like terms: -9.8n + 9.8n = 0.0 -8.2 + 32n = -4.2 + 0.0 -8.2 + 32n = -4.2 Add '8.2' to each side of the equation. -8.2 + 8.2 + 32n = -4.2 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + 32n = -4.2 + 8.2 32n = -4.2 + 8.2 Combine like terms: -4.2 + 8.2 = 4 32n = 4 Divide each side by '32'. n = 0.125 Simplifying n = 0.125
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