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Simplifying 10k + -7 = 2[13 + -5k] Reorder the terms: -7 + 10k = 2[13 + -5k] -7 + 10k = [13 * 2 + -5k * 2] -7 + 10k = [26 + -10k] Solving -7 + 10k = 26 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -7 + 10k + 10k = 26 + -10k + 10k Combine like terms: 10k + 10k = 20k -7 + 20k = 26 + -10k + 10k Combine like terms: -10k + 10k = 0 -7 + 20k = 26 + 0 -7 + 20k = 26 Add '7' to each side of the equation. -7 + 7 + 20k = 26 + 7 Combine like terms: -7 + 7 = 0 0 + 20k = 26 + 7 20k = 26 + 7 Combine like terms: 26 + 7 = 33 20k = 33 Divide each side by '20'. k = 1.65 Simplifying k = 1.65
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