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Simplifying 0.714(k + 5) = -7 Reorder the terms: 0.714(5 + k) = -7 (5 * 0.714 + k * 0.714) = -7 (3.57 + 0.714k) = -7 Solving 3.57 + 0.714k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.57' to each side of the equation. 3.57 + -3.57 + 0.714k = -7 + -3.57 Combine like terms: 3.57 + -3.57 = 0.00 0.00 + 0.714k = -7 + -3.57 0.714k = -7 + -3.57 Combine like terms: -7 + -3.57 = -10.57 0.714k = -10.57 Divide each side by '0.714'. k = -14.80392157 Simplifying k = -14.80392157
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