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Simplifying x4 + -8x3 + 22x2 + -24x + m = 0 Reorder the terms: m + -24x + 22x2 + -8x3 + x4 = 0 Solving m + -24x + 22x2 + -8x3 + x4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24x' to each side of the equation. m + -24x + 22x2 + -8x3 + 24x + x4 = 0 + 24x Reorder the terms: m + -24x + 24x + 22x2 + -8x3 + x4 = 0 + 24x Combine like terms: -24x + 24x = 0 m + 0 + 22x2 + -8x3 + x4 = 0 + 24x m + 22x2 + -8x3 + x4 = 0 + 24x Remove the zero: m + 22x2 + -8x3 + x4 = 24x Add '-22x2' to each side of the equation. m + 22x2 + -8x3 + -22x2 + x4 = 24x + -22x2 Reorder the terms: m + 22x2 + -22x2 + -8x3 + x4 = 24x + -22x2 Combine like terms: 22x2 + -22x2 = 0 m + 0 + -8x3 + x4 = 24x + -22x2 m + -8x3 + x4 = 24x + -22x2 Add '8x3' to each side of the equation. m + -8x3 + 8x3 + x4 = 24x + -22x2 + 8x3 Combine like terms: -8x3 + 8x3 = 0 m + 0 + x4 = 24x + -22x2 + 8x3 m + x4 = 24x + -22x2 + 8x3 Add '-1x4' to each side of the equation. m + x4 + -1x4 = 24x + -22x2 + 8x3 + -1x4 Combine like terms: x4 + -1x4 = 0 m + 0 = 24x + -22x2 + 8x3 + -1x4 m = 24x + -22x2 + 8x3 + -1x4 Simplifying m = 24x + -22x2 + 8x3 + -1x4
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