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Simplifying (H + -3) * x + -1(2k + 6) = 0 Reorder the terms: (-3 + H) * x + -1(2k + 6) = 0 Reorder the terms for easier multiplication: x(-3 + H) + -1(2k + 6) = 0 (-3 * x + H * x) + -1(2k + 6) = 0 (-3x + xH) + -1(2k + 6) = 0 Reorder the terms: -3x + xH + -1(6 + 2k) = 0 -3x + xH + (6 * -1 + 2k * -1) = 0 -3x + xH + (-6 + -2k) = 0 Reorder the terms: -6 + -2k + -3x + xH = 0 Solving -6 + -2k + -3x + xH = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2k + -3x + 6 + xH = 0 + 6 Reorder the terms: -6 + 6 + -2k + -3x + xH = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2k + -3x + xH = 0 + 6 -2k + -3x + xH = 0 + 6 Combine like terms: 0 + 6 = 6 -2k + -3x + xH = 6 Add '3x' to each side of the equation. -2k + -3x + 3x + xH = 6 + 3x Combine like terms: -3x + 3x = 0 -2k + 0 + xH = 6 + 3x -2k + xH = 6 + 3x Add '-1xH' to each side of the equation. -2k + xH + -1xH = 6 + 3x + -1xH Combine like terms: xH + -1xH = 0 -2k + 0 = 6 + 3x + -1xH -2k = 6 + 3x + -1xH Divide each side by '-2'. k = -3 + -1.5x + 0.5xH Simplifying k = -3 + -1.5x + 0.5xH
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