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Simplifying 8 + -10k = -4(8k + -2) Reorder the terms: 8 + -10k = -4(-2 + 8k) 8 + -10k = (-2 * -4 + 8k * -4) 8 + -10k = (8 + -32k) Add '-8' to each side of the equation. 8 + -8 + -10k = 8 + -8 + -32k Combine like terms: 8 + -8 = 0 0 + -10k = 8 + -8 + -32k -10k = 8 + -8 + -32k Combine like terms: 8 + -8 = 0 -10k = 0 + -32k -10k = -32k Solving -10k = -32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32k' to each side of the equation. -10k + 32k = -32k + 32k Combine like terms: -10k + 32k = 22k 22k = -32k + 32k Combine like terms: -32k + 32k = 0 22k = 0 Divide each side by '22'. k = 0 Simplifying k = 0
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