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Simplifying -8n + (-42) + -2n = -22 + -1(-50) -8n + -42 + -2n = -22 + -1(-50) Reorder the terms: -42 + -8n + -2n = -22 + -1(-50) Combine like terms: -8n + -2n = -10n -42 + -10n = -22 + -1(-50) Multiply -1 * -50 -42 + -10n = -22 + 50 Combine like terms: -22 + 50 = 28 -42 + -10n = 28 Solving -42 + -10n = 28 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -10n = 28 + 42 Combine like terms: -42 + 42 = 0 0 + -10n = 28 + 42 -10n = 28 + 42 Combine like terms: 28 + 42 = 70 -10n = 70 Divide each side by '-10'. n = -7 Simplifying n = -7
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