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Simplifying 3(N + 7) = 2(5N + 7) Reorder the terms: 3(7 + N) = 2(5N + 7) (7 * 3 + N * 3) = 2(5N + 7) (21 + 3N) = 2(5N + 7) Reorder the terms: 21 + 3N = 2(7 + 5N) 21 + 3N = (7 * 2 + 5N * 2) 21 + 3N = (14 + 10N) Solving 21 + 3N = 14 + 10N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-10N' to each side of the equation. 21 + 3N + -10N = 14 + 10N + -10N Combine like terms: 3N + -10N = -7N 21 + -7N = 14 + 10N + -10N Combine like terms: 10N + -10N = 0 21 + -7N = 14 + 0 21 + -7N = 14 Add '-21' to each side of the equation. 21 + -21 + -7N = 14 + -21 Combine like terms: 21 + -21 = 0 0 + -7N = 14 + -21 -7N = 14 + -21 Combine like terms: 14 + -21 = -7 -7N = -7 Divide each side by '-7'. N = 1 Simplifying N = 1
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