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Simplifying 4(4 + 4k) = -10 + -16k (4 * 4 + 4k * 4) = -10 + -16k (16 + 16k) = -10 + -16k Solving 16 + 16k = -10 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 16 + 16k + 16k = -10 + -16k + 16k Combine like terms: 16k + 16k = 32k 16 + 32k = -10 + -16k + 16k Combine like terms: -16k + 16k = 0 16 + 32k = -10 + 0 16 + 32k = -10 Add '-16' to each side of the equation. 16 + -16 + 32k = -10 + -16 Combine like terms: 16 + -16 = 0 0 + 32k = -10 + -16 32k = -10 + -16 Combine like terms: -10 + -16 = -26 32k = -26 Divide each side by '32'. k = -0.8125 Simplifying k = -0.8125
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