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Simplifying -10 + 7n = 8[5 + 4n] -10 + 7n = [5 * 8 + 4n * 8] -10 + 7n = [40 + 32n] Solving -10 + 7n = 40 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -10 + 7n + -32n = 40 + 32n + -32n Combine like terms: 7n + -32n = -25n -10 + -25n = 40 + 32n + -32n Combine like terms: 32n + -32n = 0 -10 + -25n = 40 + 0 -10 + -25n = 40 Add '10' to each side of the equation. -10 + 10 + -25n = 40 + 10 Combine like terms: -10 + 10 = 0 0 + -25n = 40 + 10 -25n = 40 + 10 Combine like terms: 40 + 10 = 50 -25n = 50 Divide each side by '-25'. n = -2 Simplifying n = -2
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