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Simplifying 4k + 1.2 = 6k + -6.5 Reorder the terms: 1.2 + 4k = 6k + -6.5 Reorder the terms: 1.2 + 4k = -6.5 + 6k Solving 1.2 + 4k = -6.5 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 1.2 + 4k + -6k = -6.5 + 6k + -6k Combine like terms: 4k + -6k = -2k 1.2 + -2k = -6.5 + 6k + -6k Combine like terms: 6k + -6k = 0 1.2 + -2k = -6.5 + 0 1.2 + -2k = -6.5 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -2k = -6.5 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -2k = -6.5 + -1.2 -2k = -6.5 + -1.2 Combine like terms: -6.5 + -1.2 = -7.7 -2k = -7.7 Divide each side by '-2'. k = 3.85 Simplifying k = 3.85
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