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Simplifying 2x3 + ax2 + -1bx + -8 = 0 Reorder the terms: -8 + ax2 + -1bx + 2x3 = 0 Solving -8 + ax2 + -1bx + 2x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + ax2 + -1bx + 8 + 2x3 = 0 + 8 Reorder the terms: -8 + 8 + ax2 + -1bx + 2x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + ax2 + -1bx + 2x3 = 0 + 8 ax2 + -1bx + 2x3 = 0 + 8 Combine like terms: 0 + 8 = 8 ax2 + -1bx + 2x3 = 8 Add 'bx' to each side of the equation. ax2 + -1bx + bx + 2x3 = 8 + bx Combine like terms: -1bx + bx = 0 ax2 + 0 + 2x3 = 8 + bx ax2 + 2x3 = 8 + bx Add '-2x3' to each side of the equation. ax2 + 2x3 + -2x3 = 8 + bx + -2x3 Combine like terms: 2x3 + -2x3 = 0 ax2 + 0 = 8 + bx + -2x3 ax2 = 8 + bx + -2x3 Divide each side by 'x2'. a = 8x-2 + bx-1 + -2x Simplifying a = 8x-2 + bx-1 + -2x Reorder the terms: a = bx-1 + 8x-2 + -2x
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