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Simplifying -7(-7n + 6) = 4n + 3 Reorder the terms: -7(6 + -7n) = 4n + 3 (6 * -7 + -7n * -7) = 4n + 3 (-42 + 49n) = 4n + 3 Reorder the terms: -42 + 49n = 3 + 4n Solving -42 + 49n = 3 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -42 + 49n + -4n = 3 + 4n + -4n Combine like terms: 49n + -4n = 45n -42 + 45n = 3 + 4n + -4n Combine like terms: 4n + -4n = 0 -42 + 45n = 3 + 0 -42 + 45n = 3 Add '42' to each side of the equation. -42 + 42 + 45n = 3 + 42 Combine like terms: -42 + 42 = 0 0 + 45n = 3 + 42 45n = 3 + 42 Combine like terms: 3 + 42 = 45 45n = 45 Divide each side by '45'. n = 1 Simplifying n = 1
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