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Simplifying -5n + -5 = -7(-6 + -6n) Reorder the terms: -5 + -5n = -7(-6 + -6n) -5 + -5n = (-6 * -7 + -6n * -7) -5 + -5n = (42 + 42n) Solving -5 + -5n = 42 + 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. -5 + -5n + -42n = 42 + 42n + -42n Combine like terms: -5n + -42n = -47n -5 + -47n = 42 + 42n + -42n Combine like terms: 42n + -42n = 0 -5 + -47n = 42 + 0 -5 + -47n = 42 Add '5' to each side of the equation. -5 + 5 + -47n = 42 + 5 Combine like terms: -5 + 5 = 0 0 + -47n = 42 + 5 -47n = 42 + 5 Combine like terms: 42 + 5 = 47 -47n = 47 Divide each side by '-47'. n = -1 Simplifying n = -1
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