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Simplifying 7 + -14(8k + 6) = 707 Reorder the terms: 7 + -14(6 + 8k) = 707 7 + (6 * -14 + 8k * -14) = 707 7 + (-84 + -112k) = 707 Combine like terms: 7 + -84 = -77 -77 + -112k = 707 Solving -77 + -112k = 707 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -112k = 707 + 77 Combine like terms: -77 + 77 = 0 0 + -112k = 707 + 77 -112k = 707 + 77 Combine like terms: 707 + 77 = 784 -112k = 784 Divide each side by '-112'. k = -7 Simplifying k = -7
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