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Simplifying 8k + -3.2 = 7(k + -8.9) + 4k Reorder the terms: -3.2 + 8k = 7(k + -8.9) + 4k Reorder the terms: -3.2 + 8k = 7(-8.9 + k) + 4k -3.2 + 8k = (-8.9 * 7 + k * 7) + 4k -3.2 + 8k = (-62.3 + 7k) + 4k Combine like terms: 7k + 4k = 11k -3.2 + 8k = -62.3 + 11k Solving -3.2 + 8k = -62.3 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -3.2 + 8k + -11k = -62.3 + 11k + -11k Combine like terms: 8k + -11k = -3k -3.2 + -3k = -62.3 + 11k + -11k Combine like terms: 11k + -11k = 0 -3.2 + -3k = -62.3 + 0 -3.2 + -3k = -62.3 Add '3.2' to each side of the equation. -3.2 + 3.2 + -3k = -62.3 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -3k = -62.3 + 3.2 -3k = -62.3 + 3.2 Combine like terms: -62.3 + 3.2 = -59.1 -3k = -59.1 Divide each side by '-3'. k = 19.7 Simplifying k = 19.7
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