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Simplifying 8(7k + -2) + -8 = 8 + -4(-2 + -4k) Reorder the terms: 8(-2 + 7k) + -8 = 8 + -4(-2 + -4k) (-2 * 8 + 7k * 8) + -8 = 8 + -4(-2 + -4k) (-16 + 56k) + -8 = 8 + -4(-2 + -4k) Reorder the terms: -16 + -8 + 56k = 8 + -4(-2 + -4k) Combine like terms: -16 + -8 = -24 -24 + 56k = 8 + -4(-2 + -4k) -24 + 56k = 8 + (-2 * -4 + -4k * -4) -24 + 56k = 8 + (8 + 16k) Combine like terms: 8 + 8 = 16 -24 + 56k = 16 + 16k Solving -24 + 56k = 16 + 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. -24 + 56k + -16k = 16 + 16k + -16k Combine like terms: 56k + -16k = 40k -24 + 40k = 16 + 16k + -16k Combine like terms: 16k + -16k = 0 -24 + 40k = 16 + 0 -24 + 40k = 16 Add '24' to each side of the equation. -24 + 24 + 40k = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 40k = 16 + 24 40k = 16 + 24 Combine like terms: 16 + 24 = 40 40k = 40 Divide each side by '40'. k = 1 Simplifying k = 1
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