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Simplifying 2(3n + -2) = 5n + x + -7 Reorder the terms: 2(-2 + 3n) = 5n + x + -7 (-2 * 2 + 3n * 2) = 5n + x + -7 (-4 + 6n) = 5n + x + -7 Reorder the terms: -4 + 6n = -7 + 5n + x Solving -4 + 6n = -7 + 5n + x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -4 + 6n + -5n = -7 + 5n + -5n + x Combine like terms: 6n + -5n = 1n -4 + 1n = -7 + 5n + -5n + x Combine like terms: 5n + -5n = 0 -4 + 1n = -7 + 0 + x -4 + 1n = -7 + x Add '4' to each side of the equation. -4 + 4 + 1n = -7 + 4 + x Combine like terms: -4 + 4 = 0 0 + 1n = -7 + 4 + x 1n = -7 + 4 + x Combine like terms: -7 + 4 = -3 1n = -3 + x Divide each side by '1'. n = -3 + x Simplifying n = -3 + x
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