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Simplifying 10 + -7n = 8(-4n + -5) Reorder the terms: 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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