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Simplifying 8k + -49 = 4(8 + 8k) Reorder the terms: -49 + 8k = 4(8 + 8k) -49 + 8k = (8 * 4 + 8k * 4) -49 + 8k = (32 + 32k) Solving -49 + 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. -49 + 8k + -32k = 32 + 32k + -32k Combine like terms: 8k + -32k = -24k -49 + -24k = 32 + 32k + -32k Combine like terms: 32k + -32k = 0 -49 + -24k = 32 + 0 -49 + -24k = 32 Add '49' to each side of the equation. -49 + 49 + -24k = 32 + 49 Combine like terms: -49 + 49 = 0 0 + -24k = 32 + 49 -24k = 32 + 49 Combine like terms: 32 + 49 = 81 -24k = 81 Divide each side by '-24'. k = -3.375 Simplifying k = -3.375
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