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Simplifying 2k + -8 = 12(4k + -16) Reorder the terms: -8 + 2k = 12(4k + -16) Reorder the terms: -8 + 2k = 12(-16 + 4k) -8 + 2k = (-16 * 12 + 4k * 12) -8 + 2k = (-192 + 48k) Solving -8 + 2k = -192 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. -8 + 2k + -48k = -192 + 48k + -48k Combine like terms: 2k + -48k = -46k -8 + -46k = -192 + 48k + -48k Combine like terms: 48k + -48k = 0 -8 + -46k = -192 + 0 -8 + -46k = -192 Add '8' to each side of the equation. -8 + 8 + -46k = -192 + 8 Combine like terms: -8 + 8 = 0 0 + -46k = -192 + 8 -46k = -192 + 8 Combine like terms: -192 + 8 = -184 -46k = -184 Divide each side by '-46'. k = 4 Simplifying k = 4
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