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Simplifying -2 + 3n = -7(6n + 6) + 5n Reorder the terms: -2 + 3n = -7(6 + 6n) + 5n -2 + 3n = (6 * -7 + 6n * -7) + 5n -2 + 3n = (-42 + -42n) + 5n Combine like terms: -42n + 5n = -37n -2 + 3n = -42 + -37n Solving -2 + 3n = -42 + -37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '37n' to each side of the equation. -2 + 3n + 37n = -42 + -37n + 37n Combine like terms: 3n + 37n = 40n -2 + 40n = -42 + -37n + 37n Combine like terms: -37n + 37n = 0 -2 + 40n = -42 + 0 -2 + 40n = -42 Add '2' to each side of the equation. -2 + 2 + 40n = -42 + 2 Combine like terms: -2 + 2 = 0 0 + 40n = -42 + 2 40n = -42 + 2 Combine like terms: -42 + 2 = -40 40n = -40 Divide each side by '40'. n = -1 Simplifying n = -1
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