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Simplifying 15 + -7(5 + 3N) = 2(N + 7) + 12 15 + (5 * -7 + 3N * -7) = 2(N + 7) + 12 15 + (-35 + -21N) = 2(N + 7) + 12 Combine like terms: 15 + -35 = -20 -20 + -21N = 2(N + 7) + 12 Reorder the terms: -20 + -21N = 2(7 + N) + 12 -20 + -21N = (7 * 2 + N * 2) + 12 -20 + -21N = (14 + 2N) + 12 Reorder the terms: -20 + -21N = 14 + 12 + 2N Combine like terms: 14 + 12 = 26 -20 + -21N = 26 + 2N Solving -20 + -21N = 26 + 2N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-2N' to each side of the equation. -20 + -21N + -2N = 26 + 2N + -2N Combine like terms: -21N + -2N = -23N -20 + -23N = 26 + 2N + -2N Combine like terms: 2N + -2N = 0 -20 + -23N = 26 + 0 -20 + -23N = 26 Add '20' to each side of the equation. -20 + 20 + -23N = 26 + 20 Combine like terms: -20 + 20 = 0 0 + -23N = 26 + 20 -23N = 26 + 20 Combine like terms: 26 + 20 = 46 -23N = 46 Divide each side by '-23'. N = -2 Simplifying N = -2
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