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Simplifying 3x2 + -24t + 45 = 0 Reorder the terms: 45 + -24t + 3x2 = 0 Solving 45 + -24t + 3x2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -24t + -45 + 3x2 = 0 + -45 Reorder the terms: 45 + -45 + -24t + 3x2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -24t + 3x2 = 0 + -45 -24t + 3x2 = 0 + -45 Combine like terms: 0 + -45 = -45 -24t + 3x2 = -45 Add '-3x2' to each side of the equation. -24t + 3x2 + -3x2 = -45 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -24t + 0 = -45 + -3x2 -24t = -45 + -3x2 Divide each side by '-24'. t = 1.875 + 0.125x2 Simplifying t = 1.875 + 0.125x2
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