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Simplifying 7(5n + -6) = -5 + -2n Reorder the terms: 7(-6 + 5n) = -5 + -2n (-6 * 7 + 5n * 7) = -5 + -2n (-42 + 35n) = -5 + -2n Solving -42 + 35n = -5 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -42 + 35n + 2n = -5 + -2n + 2n Combine like terms: 35n + 2n = 37n -42 + 37n = -5 + -2n + 2n Combine like terms: -2n + 2n = 0 -42 + 37n = -5 + 0 -42 + 37n = -5 Add '42' to each side of the equation. -42 + 42 + 37n = -5 + 42 Combine like terms: -42 + 42 = 0 0 + 37n = -5 + 42 37n = -5 + 42 Combine like terms: -5 + 42 = 37 37n = 37 Divide each side by '37'. n = 1 Simplifying n = 1
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