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Simplifying 0.4(k + -2) = 0.3x + 6 + -5 + 0.3x Reorder the terms: 0.4(-2 + k) = 0.3x + 6 + -5 + 0.3x (-2 * 0.4 + k * 0.4) = 0.3x + 6 + -5 + 0.3x (-0.8 + 0.4k) = 0.3x + 6 + -5 + 0.3x Reorder the terms: -0.8 + 0.4k = 6 + -5 + 0.3x + 0.3x Combine like terms: 6 + -5 = 1 -0.8 + 0.4k = 1 + 0.3x + 0.3x Combine like terms: 0.3x + 0.3x = 0.6x -0.8 + 0.4k = 1 + 0.6x Solving -0.8 + 0.4k = 1 + 0.6x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.4k = 1 + 0.8 + 0.6x Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.4k = 1 + 0.8 + 0.6x 0.4k = 1 + 0.8 + 0.6x Combine like terms: 1 + 0.8 = 1.8 0.4k = 1.8 + 0.6x Divide each side by '0.4'. k = 4.5 + 1.5x Simplifying k = 4.5 + 1.5x
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