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Simplifying n + -10 + 7n = 5(1 + -7n) + 5(1 + 9n) Reorder the terms: -10 + n + 7n = 5(1 + -7n) + 5(1 + 9n) Combine like terms: n + 7n = 8n -10 + 8n = 5(1 + -7n) + 5(1 + 9n) -10 + 8n = (1 * 5 + -7n * 5) + 5(1 + 9n) -10 + 8n = (5 + -35n) + 5(1 + 9n) -10 + 8n = 5 + -35n + (1 * 5 + 9n * 5) -10 + 8n = 5 + -35n + (5 + 45n) Reorder the terms: -10 + 8n = 5 + 5 + -35n + 45n Combine like terms: 5 + 5 = 10 -10 + 8n = 10 + -35n + 45n Combine like terms: -35n + 45n = 10n -10 + 8n = 10 + 10n Solving -10 + 8n = 10 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -10 + 8n + -10n = 10 + 10n + -10n Combine like terms: 8n + -10n = -2n -10 + -2n = 10 + 10n + -10n Combine like terms: 10n + -10n = 0 -10 + -2n = 10 + 0 -10 + -2n = 10 Add '10' to each side of the equation. -10 + 10 + -2n = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = 10 + 10 -2n = 10 + 10 Combine like terms: 10 + 10 = 20 -2n = 20 Divide each side by '-2'. n = -10 Simplifying n = -10
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