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Simplifying -1x + 33 + -1n = 2 + -2(x + -8) Reorder the terms: 33 + -1n + -1x = 2 + -2(x + -8) Reorder the terms: 33 + -1n + -1x = 2 + -2(-8 + x) 33 + -1n + -1x = 2 + (-8 * -2 + x * -2) 33 + -1n + -1x = 2 + (16 + -2x) Combine like terms: 2 + 16 = 18 33 + -1n + -1x = 18 + -2x Solving 33 + -1n + -1x = 18 + -2x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -1n + -33 + -1x = 18 + -33 + -2x Reorder the terms: 33 + -33 + -1n + -1x = 18 + -33 + -2x Combine like terms: 33 + -33 = 0 0 + -1n + -1x = 18 + -33 + -2x -1n + -1x = 18 + -33 + -2x Combine like terms: 18 + -33 = -15 -1n + -1x = -15 + -2x Add 'x' to each side of the equation. -1n + -1x + x = -15 + -2x + x Combine like terms: -1x + x = 0 -1n + 0 = -15 + -2x + x -1n = -15 + -2x + x Combine like terms: -2x + x = -1x -1n = -15 + -1x Divide each side by '-1'. n = 15 + x Simplifying n = 15 + x
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