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Simplifying 0.2x5 + -2x3 + 1.8x + k = 0 Reorder the terms: k + 1.8x + -2x3 + 0.2x5 = 0 Solving k + 1.8x + -2x3 + 0.2x5 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.8x' to each side of the equation. k + 1.8x + -2x3 + -1.8x + 0.2x5 = 0 + -1.8x Reorder the terms: k + 1.8x + -1.8x + -2x3 + 0.2x5 = 0 + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 k + 0.0 + -2x3 + 0.2x5 = 0 + -1.8x k + -2x3 + 0.2x5 = 0 + -1.8x Remove the zero: k + -2x3 + 0.2x5 = -1.8x Add '2x3' to each side of the equation. k + -2x3 + 2x3 + 0.2x5 = -1.8x + 2x3 Combine like terms: -2x3 + 2x3 = 0 k + 0 + 0.2x5 = -1.8x + 2x3 k + 0.2x5 = -1.8x + 2x3 Add '-0.2x5' to each side of the equation. k + 0.2x5 + -0.2x5 = -1.8x + 2x3 + -0.2x5 Combine like terms: 0.2x5 + -0.2x5 = 0.0 k + 0.0 = -1.8x + 2x3 + -0.2x5 k = -1.8x + 2x3 + -0.2x5 Simplifying k = -1.8x + 2x3 + -0.2x5
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