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Simplifying 38 + -1n = n + -10 Reorder the terms: 38 + -1n = -10 + n Solving 38 + -1n = -10 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 38 + -1n + -1n = -10 + n + -1n Combine like terms: -1n + -1n = -2n 38 + -2n = -10 + n + -1n Combine like terms: n + -1n = 0 38 + -2n = -10 + 0 38 + -2n = -10 Add '-38' to each side of the equation. 38 + -38 + -2n = -10 + -38 Combine like terms: 38 + -38 = 0 0 + -2n = -10 + -38 -2n = -10 + -38 Combine like terms: -10 + -38 = -48 -2n = -48 Divide each side by '-2'. n = 24 Simplifying n = 24
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