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Simplifying 8k + -7(3k + 4) = 0 Reorder the terms: 8k + -7(4 + 3k) = 0 8k + (4 * -7 + 3k * -7) = 0 8k + (-28 + -21k) = 0 Reorder the terms: -28 + 8k + -21k = 0 Combine like terms: 8k + -21k = -13k -28 + -13k = 0 Solving -28 + -13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -13k = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -13k = 0 + 28 -13k = 0 + 28 Combine like terms: 0 + 28 = 28 -13k = 28 Divide each side by '-13'. k = -2.153846154 Simplifying k = -2.153846154
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