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Simplifying -5(-10n + 4) = 7(6n + -4) Reorder the terms: -5(4 + -10n) = 7(6n + -4) (4 * -5 + -10n * -5) = 7(6n + -4) (-20 + 50n) = 7(6n + -4) Reorder the terms: -20 + 50n = 7(-4 + 6n) -20 + 50n = (-4 * 7 + 6n * 7) -20 + 50n = (-28 + 42n) Solving -20 + 50n = -28 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -20 + 50n + -42n = -28 + 42n + -42n Combine like terms: 50n + -42n = 8n -20 + 8n = -28 + 42n + -42n Combine like terms: 42n + -42n = 0 -20 + 8n = -28 + 0 -20 + 8n = -28 Add '20' to each side of the equation. -20 + 20 + 8n = -28 + 20 Combine like terms: -20 + 20 = 0 0 + 8n = -28 + 20 8n = -28 + 20 Combine like terms: -28 + 20 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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