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Simplifying 8k + -40 = 4(8 + 8k) Reorder the terms: -40 + 8k = 4(8 + 8k) -40 + 8k = (8 * 4 + 8k * 4) -40 + 8k = (32 + 32k) Solving -40 + 8k = 32 + 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. -40 + 8k + -32k = 32 + 32k + -32k Combine like terms: 8k + -32k = -24k -40 + -24k = 32 + 32k + -32k Combine like terms: 32k + -32k = 0 -40 + -24k = 32 + 0 -40 + -24k = 32 Add '40' to each side of the equation. -40 + 40 + -24k = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -24k = 32 + 40 -24k = 32 + 40 Combine like terms: 32 + 40 = 72 -24k = 72 Divide each side by '-24'. k = -3 Simplifying k = -3
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