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Simplifying 4(-1k + -7) + 8k = -3(4k + -9) Reorder the terms: 4(-7 + -1k) + 8k = -3(4k + -9) (-7 * 4 + -1k * 4) + 8k = -3(4k + -9) (-28 + -4k) + 8k = -3(4k + -9) Combine like terms: -4k + 8k = 4k -28 + 4k = -3(4k + -9) Reorder the terms: -28 + 4k = -3(-9 + 4k) -28 + 4k = (-9 * -3 + 4k * -3) -28 + 4k = (27 + -12k) Solving -28 + 4k = 27 + -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. -28 + 4k + 12k = 27 + -12k + 12k Combine like terms: 4k + 12k = 16k -28 + 16k = 27 + -12k + 12k Combine like terms: -12k + 12k = 0 -28 + 16k = 27 + 0 -28 + 16k = 27 Add '28' to each side of the equation. -28 + 28 + 16k = 27 + 28 Combine like terms: -28 + 28 = 0 0 + 16k = 27 + 28 16k = 27 + 28 Combine like terms: 27 + 28 = 55 16k = 55 Divide each side by '16'. k = 3.4375 Simplifying k = 3.4375
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