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Simplifying -7 + -5n = -6(1 + -8n) + -1 -7 + -5n = (1 * -6 + -8n * -6) + -1 -7 + -5n = (-6 + 48n) + -1 Reorder the terms: -7 + -5n = -6 + -1 + 48n Combine like terms: -6 + -1 = -7 -7 + -5n = -7 + 48n Add '7' to each side of the equation. -7 + 7 + -5n = -7 + 7 + 48n Combine like terms: -7 + 7 = 0 0 + -5n = -7 + 7 + 48n -5n = -7 + 7 + 48n Combine like terms: -7 + 7 = 0 -5n = 0 + 48n -5n = 48n Solving -5n = 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. -5n + -48n = 48n + -48n Combine like terms: -5n + -48n = -53n -53n = 48n + -48n Combine like terms: 48n + -48n = 0 -53n = 0 Divide each side by '-53'. n = 0 Simplifying n = 0
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