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Simplifying 8k + 10 = 3(8k + -2) Reorder the terms: 10 + 8k = 3(8k + -2) Reorder the terms: 10 + 8k = 3(-2 + 8k) 10 + 8k = (-2 * 3 + 8k * 3) 10 + 8k = (-6 + 24k) Solving 10 + 8k = -6 + 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. 10 + 8k + -24k = -6 + 24k + -24k Combine like terms: 8k + -24k = -16k 10 + -16k = -6 + 24k + -24k Combine like terms: 24k + -24k = 0 10 + -16k = -6 + 0 10 + -16k = -6 Add '-10' to each side of the equation. 10 + -10 + -16k = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -16k = -6 + -10 -16k = -6 + -10 Combine like terms: -6 + -10 = -16 -16k = -16 Divide each side by '-16'. k = 1 Simplifying k = 1
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