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Simplifying -6N + 21 = 12N + -1(15) Reorder the terms: 21 + -6N = 12N + -1(15) Multiply -1 * 15 21 + -6N = 12N + -15 Reorder the terms: 21 + -6N = -15 + 12N Solving 21 + -6N = -15 + 12N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-12N' to each side of the equation. 21 + -6N + -12N = -15 + 12N + -12N Combine like terms: -6N + -12N = -18N 21 + -18N = -15 + 12N + -12N Combine like terms: 12N + -12N = 0 21 + -18N = -15 + 0 21 + -18N = -15 Add '-21' to each side of the equation. 21 + -21 + -18N = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -18N = -15 + -21 -18N = -15 + -21 Combine like terms: -15 + -21 = -36 -18N = -36 Divide each side by '-18'. N = 2 Simplifying N = 2
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