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Simplifying 0.3x + 3 = 0.3x + -2 + k Reorder the terms: 3 + 0.3x = 0.3x + -2 + k Reorder the terms: 3 + 0.3x = -2 + k + 0.3x Add '-0.3x' to each side of the equation. 3 + 0.3x + -0.3x = -2 + k + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3 + 0.0 = -2 + k + 0.3x + -0.3x 3 = -2 + k + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3 = -2 + k + 0.0 3 = -2 + k Solving 3 = -2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 3 + -1k = -2 + k + -1k Combine like terms: k + -1k = 0 3 + -1k = -2 + 0 3 + -1k = -2 Add '-3' to each side of the equation. 3 + -3 + -1k = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = -2 + -3 -1k = -2 + -3 Combine like terms: -2 + -3 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5
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