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Simplifying 8(n + -5) = 7(5 + 6n) + -7 Reorder the terms: 8(-5 + n) = 7(5 + 6n) + -7 (-5 * 8 + n * 8) = 7(5 + 6n) + -7 (-40 + 8n) = 7(5 + 6n) + -7 -40 + 8n = (5 * 7 + 6n * 7) + -7 -40 + 8n = (35 + 42n) + -7 Reorder the terms: -40 + 8n = 35 + -7 + 42n Combine like terms: 35 + -7 = 28 -40 + 8n = 28 + 42n Solving -40 + 8n = 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. -40 + 8n + -42n = 28 + 42n + -42n Combine like terms: 8n + -42n = -34n -40 + -34n = 28 + 42n + -42n Combine like terms: 42n + -42n = 0 -40 + -34n = 28 + 0 -40 + -34n = 28 Add '40' to each side of the equation. -40 + 40 + -34n = 28 + 40 Combine like terms: -40 + 40 = 0 0 + -34n = 28 + 40 -34n = 28 + 40 Combine like terms: 28 + 40 = 68 -34n = 68 Divide each side by '-34'. n = -2 Simplifying n = -2
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