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Simplifying 12n + -90 = 7(n + 70) Reorder the terms: -90 + 12n = 7(n + 70) Reorder the terms: -90 + 12n = 7(70 + n) -90 + 12n = (70 * 7 + n * 7) -90 + 12n = (490 + 7n) Solving -90 + 12n = 490 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -90 + 12n + -7n = 490 + 7n + -7n Combine like terms: 12n + -7n = 5n -90 + 5n = 490 + 7n + -7n Combine like terms: 7n + -7n = 0 -90 + 5n = 490 + 0 -90 + 5n = 490 Add '90' to each side of the equation. -90 + 90 + 5n = 490 + 90 Combine like terms: -90 + 90 = 0 0 + 5n = 490 + 90 5n = 490 + 90 Combine like terms: 490 + 90 = 580 5n = 580 Divide each side by '5'. n = 116 Simplifying n = 116
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