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Simplifying 8 + -5(8n + 8) = 1 + -7n Reorder the terms: 8 + -5(8 + 8n) = 1 + -7n 8 + (8 * -5 + 8n * -5) = 1 + -7n 8 + (-40 + -40n) = 1 + -7n Combine like terms: 8 + -40 = -32 -32 + -40n = 1 + -7n Solving -32 + -40n = 1 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -32 + -40n + 7n = 1 + -7n + 7n Combine like terms: -40n + 7n = -33n -32 + -33n = 1 + -7n + 7n Combine like terms: -7n + 7n = 0 -32 + -33n = 1 + 0 -32 + -33n = 1 Add '32' to each side of the equation. -32 + 32 + -33n = 1 + 32 Combine like terms: -32 + 32 = 0 0 + -33n = 1 + 32 -33n = 1 + 32 Combine like terms: 1 + 32 = 33 -33n = 33 Divide each side by '-33'. n = -1 Simplifying n = -1
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