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Simplifying 45 + 5n = 10(8n + -2) + -10n Reorder the terms: 45 + 5n = 10(-2 + 8n) + -10n 45 + 5n = (-2 * 10 + 8n * 10) + -10n 45 + 5n = (-20 + 80n) + -10n Combine like terms: 80n + -10n = 70n 45 + 5n = -20 + 70n Solving 45 + 5n = -20 + 70n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-70n' to each side of the equation. 45 + 5n + -70n = -20 + 70n + -70n Combine like terms: 5n + -70n = -65n 45 + -65n = -20 + 70n + -70n Combine like terms: 70n + -70n = 0 45 + -65n = -20 + 0 45 + -65n = -20 Add '-45' to each side of the equation. 45 + -45 + -65n = -20 + -45 Combine like terms: 45 + -45 = 0 0 + -65n = -20 + -45 -65n = -20 + -45 Combine like terms: -20 + -45 = -65 -65n = -65 Divide each side by '-65'. n = 1 Simplifying n = 1
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