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Simplifying 6(n + 16) + -2(15 + -1p) + 12n = 0 Reorder the terms: 6(16 + n) + -2(15 + -1p) + 12n = 0 (16 * 6 + n * 6) + -2(15 + -1p) + 12n = 0 (96 + 6n) + -2(15 + -1p) + 12n = 0 96 + 6n + (15 * -2 + -1p * -2) + 12n = 0 96 + 6n + (-30 + 2p) + 12n = 0 Reorder the terms: 96 + -30 + 6n + 12n + 2p = 0 Combine like terms: 96 + -30 = 66 66 + 6n + 12n + 2p = 0 Combine like terms: 6n + 12n = 18n 66 + 18n + 2p = 0 Solving 66 + 18n + 2p = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + 18n + -66 + 2p = 0 + -66 Reorder the terms: 66 + -66 + 18n + 2p = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 18n + 2p = 0 + -66 18n + 2p = 0 + -66 Combine like terms: 0 + -66 = -66 18n + 2p = -66 Add '-2p' to each side of the equation. 18n + 2p + -2p = -66 + -2p Combine like terms: 2p + -2p = 0 18n + 0 = -66 + -2p 18n = -66 + -2p Divide each side by '18'. n = -3.666666667 + -0.1111111111p Simplifying n = -3.666666667 + -0.1111111111p
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