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Simplifying -7(6n + 3) = 3n + 24 Reorder the terms: -7(3 + 6n) = 3n + 24 (3 * -7 + 6n * -7) = 3n + 24 (-21 + -42n) = 3n + 24 Reorder the terms: -21 + -42n = 24 + 3n Solving -21 + -42n = 24 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -21 + -42n + -3n = 24 + 3n + -3n Combine like terms: -42n + -3n = -45n -21 + -45n = 24 + 3n + -3n Combine like terms: 3n + -3n = 0 -21 + -45n = 24 + 0 -21 + -45n = 24 Add '21' to each side of the equation. -21 + 21 + -45n = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -45n = 24 + 21 -45n = 24 + 21 Combine like terms: 24 + 21 = 45 -45n = 45 Divide each side by '-45'. n = -1 Simplifying n = -1
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