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Simplifying -6.4 = -2.8k + -2.8(4k + 3) Reorder the terms: -6.4 = -2.8k + -2.8(3 + 4k) -6.4 = -2.8k + (3 * -2.8 + 4k * -2.8) -6.4 = -2.8k + (-8.4 + -11.2k) Reorder the terms: -6.4 = -8.4 + -2.8k + -11.2k Combine like terms: -2.8k + -11.2k = -14k -6.4 = -8.4 + -14k Solving -6.4 = -8.4 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -6.4 + 14k = -8.4 + -14k + 14k Combine like terms: -14k + 14k = 0 -6.4 + 14k = -8.4 + 0 -6.4 + 14k = -8.4 Add '6.4' to each side of the equation. -6.4 + 6.4 + 14k = -8.4 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 14k = -8.4 + 6.4 14k = -8.4 + 6.4 Combine like terms: -8.4 + 6.4 = -2 14k = -2 Divide each side by '14'. k = -0.1428571429 Simplifying k = -0.1428571429
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