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Simplifying -7(6n + 3) = 5n + 16 Reorder the terms: -7(3 + 6n) = 5n + 16 (3 * -7 + 6n * -7) = 5n + 16 (-21 + -42n) = 5n + 16 Reorder the terms: -21 + -42n = 16 + 5n Solving -21 + -42n = 16 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -21 + -42n + -5n = 16 + 5n + -5n Combine like terms: -42n + -5n = -47n -21 + -47n = 16 + 5n + -5n Combine like terms: 5n + -5n = 0 -21 + -47n = 16 + 0 -21 + -47n = 16 Add '21' to each side of the equation. -21 + 21 + -47n = 16 + 21 Combine like terms: -21 + 21 = 0 0 + -47n = 16 + 21 -47n = 16 + 21 Combine like terms: 16 + 21 = 37 -47n = 37 Divide each side by '-47'. n = -0.7872340426 Simplifying n = -0.7872340426
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