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Simplifying 5 + -0.67(2k + -1) = 7 Reorder the terms: 5 + -0.67(-1 + 2k) = 7 5 + (-1 * -0.67 + 2k * -0.67) = 7 5 + (0.67 + -1.34k) = 7 Combine like terms: 5 + 0.67 = 5.67 5.67 + -1.34k = 7 Solving 5.67 + -1.34k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.67' to each side of the equation. 5.67 + -5.67 + -1.34k = 7 + -5.67 Combine like terms: 5.67 + -5.67 = 0.00 0.00 + -1.34k = 7 + -5.67 -1.34k = 7 + -5.67 Combine like terms: 7 + -5.67 = 1.33 -1.34k = 1.33 Divide each side by '-1.34'. k = -0.9925373134 Simplifying k = -0.9925373134
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