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Simplifying -6.95k + 3(k + -2.5) = 0 Reorder the terms: -6.95k + 3(-2.5 + k) = 0 -6.95k + (-2.5 * 3 + k * 3) = 0 -6.95k + (-7.5 + 3k) = 0 Reorder the terms: -7.5 + -6.95k + 3k = 0 Combine like terms: -6.95k + 3k = -3.95k -7.5 + -3.95k = 0 Solving -7.5 + -3.95k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + -3.95k = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -3.95k = 0 + 7.5 -3.95k = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 -3.95k = 7.5 Divide each side by '-3.95'. k = -1.898734177 Simplifying k = -1.898734177
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