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Simplifying 7x + 5n = 10(x + -7) + -3x Reorder the terms: 5n + 7x = 10(x + -7) + -3x Reorder the terms: 5n + 7x = 10(-7 + x) + -3x 5n + 7x = (-7 * 10 + x * 10) + -3x 5n + 7x = (-70 + 10x) + -3x Combine like terms: 10x + -3x = 7x 5n + 7x = -70 + 7x Add '-7x' to each side of the equation. 5n + 7x + -7x = -70 + 7x + -7x Combine like terms: 7x + -7x = 0 5n + 0 = -70 + 7x + -7x 5n = -70 + 7x + -7x Combine like terms: 7x + -7x = 0 5n = -70 + 0 5n = -70 Solving 5n = -70 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '5'. n = -14 Simplifying n = -14
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