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Simplifying 8(k + -6) + 58 = 3(4k + 5) Reorder the terms: 8(-6 + k) + 58 = 3(4k + 5) (-6 * 8 + k * 8) + 58 = 3(4k + 5) (-48 + 8k) + 58 = 3(4k + 5) Reorder the terms: -48 + 58 + 8k = 3(4k + 5) Combine like terms: -48 + 58 = 10 10 + 8k = 3(4k + 5) Reorder the terms: 10 + 8k = 3(5 + 4k) 10 + 8k = (5 * 3 + 4k * 3) 10 + 8k = (15 + 12k) Solving 10 + 8k = 15 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 10 + 8k + -12k = 15 + 12k + -12k Combine like terms: 8k + -12k = -4k 10 + -4k = 15 + 12k + -12k Combine like terms: 12k + -12k = 0 10 + -4k = 15 + 0 10 + -4k = 15 Add '-10' to each side of the equation. 10 + -10 + -4k = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -4k = 15 + -10 -4k = 15 + -10 Combine like terms: 15 + -10 = 5 -4k = 5 Divide each side by '-4'. k = -1.25 Simplifying k = -1.25
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