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Simplifying 10 + -6n + -19 = 7n + 7 + -5n Reorder the terms: 10 + -19 + -6n = 7n + 7 + -5n Combine like terms: 10 + -19 = -9 -9 + -6n = 7n + 7 + -5n Reorder the terms: -9 + -6n = 7 + 7n + -5n Combine like terms: 7n + -5n = 2n -9 + -6n = 7 + 2n Solving -9 + -6n = 7 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -9 + -6n + -2n = 7 + 2n + -2n Combine like terms: -6n + -2n = -8n -9 + -8n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -9 + -8n = 7 + 0 -9 + -8n = 7 Add '9' to each side of the equation. -9 + 9 + -8n = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -8n = 7 + 9 -8n = 7 + 9 Combine like terms: 7 + 9 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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