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Simplifying 8(3k + -7) = 4(9 + -2k) Reorder the terms: 8(-7 + 3k) = 4(9 + -2k) (-7 * 8 + 3k * 8) = 4(9 + -2k) (-56 + 24k) = 4(9 + -2k) -56 + 24k = (9 * 4 + -2k * 4) -56 + 24k = (36 + -8k) Solving -56 + 24k = 36 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -56 + 24k + 8k = 36 + -8k + 8k Combine like terms: 24k + 8k = 32k -56 + 32k = 36 + -8k + 8k Combine like terms: -8k + 8k = 0 -56 + 32k = 36 + 0 -56 + 32k = 36 Add '56' to each side of the equation. -56 + 56 + 32k = 36 + 56 Combine like terms: -56 + 56 = 0 0 + 32k = 36 + 56 32k = 36 + 56 Combine like terms: 36 + 56 = 92 32k = 92 Divide each side by '32'. k = 2.875 Simplifying k = 2.875
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