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Simplifying 0.5x2 + 2x + -8 + -4x + -1t = 0 Reorder the terms: -8 + -1t + 2x + -4x + 0.5x2 = 0 Combine like terms: 2x + -4x = -2x -8 + -1t + -2x + 0.5x2 = 0 Solving -8 + -1t + -2x + 0.5x2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -1t + -2x + 8 + 0.5x2 = 0 + 8 Reorder the terms: -8 + 8 + -1t + -2x + 0.5x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1t + -2x + 0.5x2 = 0 + 8 -1t + -2x + 0.5x2 = 0 + 8 Combine like terms: 0 + 8 = 8 -1t + -2x + 0.5x2 = 8 Add '2x' to each side of the equation. -1t + -2x + 2x + 0.5x2 = 8 + 2x Combine like terms: -2x + 2x = 0 -1t + 0 + 0.5x2 = 8 + 2x -1t + 0.5x2 = 8 + 2x Add '-0.5x2' to each side of the equation. -1t + 0.5x2 + -0.5x2 = 8 + 2x + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 -1t + 0.0 = 8 + 2x + -0.5x2 -1t = 8 + 2x + -0.5x2 Divide each side by '-1'. t = -8 + -2x + 0.5x2 Simplifying t = -8 + -2x + 0.5x2
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