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Simplifying 1 + 2(-8k + -8) = 4k + 5 Reorder the terms: 1 + 2(-8 + -8k) = 4k + 5 1 + (-8 * 2 + -8k * 2) = 4k + 5 1 + (-16 + -16k) = 4k + 5 Combine like terms: 1 + -16 = -15 -15 + -16k = 4k + 5 Reorder the terms: -15 + -16k = 5 + 4k Solving -15 + -16k = 5 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -15 + -16k + -4k = 5 + 4k + -4k Combine like terms: -16k + -4k = -20k -15 + -20k = 5 + 4k + -4k Combine like terms: 4k + -4k = 0 -15 + -20k = 5 + 0 -15 + -20k = 5 Add '15' to each side of the equation. -15 + 15 + -20k = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -20k = 5 + 15 -20k = 5 + 15 Combine like terms: 5 + 15 = 20 -20k = 20 Divide each side by '-20'. k = -1 Simplifying k = -1
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