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Simplifying 15(-8n + -36) = -21(2 + -18n) Reorder the terms: 15(-36 + -8n) = -21(2 + -18n) (-36 * 15 + -8n * 15) = -21(2 + -18n) (-540 + -120n) = -21(2 + -18n) -540 + -120n = (2 * -21 + -18n * -21) -540 + -120n = (-42 + 378n) Solving -540 + -120n = -42 + 378n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-378n' to each side of the equation. -540 + -120n + -378n = -42 + 378n + -378n Combine like terms: -120n + -378n = -498n -540 + -498n = -42 + 378n + -378n Combine like terms: 378n + -378n = 0 -540 + -498n = -42 + 0 -540 + -498n = -42 Add '540' to each side of the equation. -540 + 540 + -498n = -42 + 540 Combine like terms: -540 + 540 = 0 0 + -498n = -42 + 540 -498n = -42 + 540 Combine like terms: -42 + 540 = 498 -498n = 498 Divide each side by '-498'. n = -1 Simplifying n = -1
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