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Simplifying 3 + -0.50(k + 1) = 6 Reorder the terms: 3 + -0.50(1 + k) = 6 3 + (1 * -0.50 + k * -0.50) = 6 3 + (-0.5 + -0.50k) = 6 Combine like terms: 3 + -0.5 = 2.5 2.5 + -0.50k = 6 Solving 2.5 + -0.50k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.50k = 6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.50k = 6 + -2.5 -0.50k = 6 + -2.5 Combine like terms: 6 + -2.5 = 3.5 -0.50k = 3.5 Divide each side by '-0.50'. k = -7 Simplifying k = -7
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