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Simplifying 7 + -2n = 8n + -1(-42) Multiply -1 * -42 7 + -2n = 8n + 42 Reorder the terms: 7 + -2n = 42 + 8n Solving 7 + -2n = 42 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 7 + -2n + -8n = 42 + 8n + -8n Combine like terms: -2n + -8n = -10n 7 + -10n = 42 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + -10n = 42 + 0 7 + -10n = 42 Add '-7' to each side of the equation. 7 + -7 + -10n = 42 + -7 Combine like terms: 7 + -7 = 0 0 + -10n = 42 + -7 -10n = 42 + -7 Combine like terms: 42 + -7 = 35 -10n = 35 Divide each side by '-10'. n = -3.5 Simplifying n = -3.5
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