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Simplifying k + 7 = -3(8 + -8k) + 8 Reorder the terms: 7 + k = -3(8 + -8k) + 8 7 + k = (8 * -3 + -8k * -3) + 8 7 + k = (-24 + 24k) + 8 Reorder the terms: 7 + k = -24 + 8 + 24k Combine like terms: -24 + 8 = -16 7 + k = -16 + 24k Solving 7 + k = -16 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 7 + k + -24k = -16 + 24k + -24k Combine like terms: k + -24k = -23k 7 + -23k = -16 + 24k + -24k Combine like terms: 24k + -24k = 0 7 + -23k = -16 + 0 7 + -23k = -16 Add '-7' to each side of the equation. 7 + -7 + -23k = -16 + -7 Combine like terms: 7 + -7 = 0 0 + -23k = -16 + -7 -23k = -16 + -7 Combine like terms: -16 + -7 = -23 -23k = -23 Divide each side by '-23'. k = 1 Simplifying k = 1
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