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Simplifying -6(-4k + 8) + -8k = -37 + 5k Reorder the terms: -6(8 + -4k) + -8k = -37 + 5k (8 * -6 + -4k * -6) + -8k = -37 + 5k (-48 + 24k) + -8k = -37 + 5k Combine like terms: 24k + -8k = 16k -48 + 16k = -37 + 5k Solving -48 + 16k = -37 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -48 + 16k + -5k = -37 + 5k + -5k Combine like terms: 16k + -5k = 11k -48 + 11k = -37 + 5k + -5k Combine like terms: 5k + -5k = 0 -48 + 11k = -37 + 0 -48 + 11k = -37 Add '48' to each side of the equation. -48 + 48 + 11k = -37 + 48 Combine like terms: -48 + 48 = 0 0 + 11k = -37 + 48 11k = -37 + 48 Combine like terms: -37 + 48 = 11 11k = 11 Divide each side by '11'. k = 1 Simplifying k = 1
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