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Simplifying 4(-4k + 8) = 8(k + 7) Reorder the terms: 4(8 + -4k) = 8(k + 7) (8 * 4 + -4k * 4) = 8(k + 7) (32 + -16k) = 8(k + 7) Reorder the terms: 32 + -16k = 8(7 + k) 32 + -16k = (7 * 8 + k * 8) 32 + -16k = (56 + 8k) Solving 32 + -16k = 56 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 32 + -16k + -8k = 56 + 8k + -8k Combine like terms: -16k + -8k = -24k 32 + -24k = 56 + 8k + -8k Combine like terms: 8k + -8k = 0 32 + -24k = 56 + 0 32 + -24k = 56 Add '-32' to each side of the equation. 32 + -32 + -24k = 56 + -32 Combine like terms: 32 + -32 = 0 0 + -24k = 56 + -32 -24k = 56 + -32 Combine like terms: 56 + -32 = 24 -24k = 24 Divide each side by '-24'. k = -1 Simplifying k = -1
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