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Simplifying 2x3 + -9x2 + kx + -13 = 0 Reorder the terms: -13 + kx + -9x2 + 2x3 = 0 Solving -13 + kx + -9x2 + 2x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + kx + -9x2 + 13 + 2x3 = 0 + 13 Reorder the terms: -13 + 13 + kx + -9x2 + 2x3 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + kx + -9x2 + 2x3 = 0 + 13 kx + -9x2 + 2x3 = 0 + 13 Combine like terms: 0 + 13 = 13 kx + -9x2 + 2x3 = 13 Add '9x2' to each side of the equation. kx + -9x2 + 9x2 + 2x3 = 13 + 9x2 Combine like terms: -9x2 + 9x2 = 0 kx + 0 + 2x3 = 13 + 9x2 kx + 2x3 = 13 + 9x2 Add '-2x3' to each side of the equation. kx + 2x3 + -2x3 = 13 + 9x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 kx + 0 = 13 + 9x2 + -2x3 kx = 13 + 9x2 + -2x3 Divide each side by 'x'. k = 13x-1 + 9x + -2x2 Simplifying k = 13x-1 + 9x + -2x2
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