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Simplifying -6t + 4t2 + -6 + 7t + -4t2 = 0 Reorder the terms: -6 + -6t + 7t + 4t2 + -4t2 = 0 Combine like terms: -6t + 7t = 1t -6 + 1t + 4t2 + -4t2 = 0 Combine like terms: 4t2 + -4t2 = 0 -6 + 1t + 0 = 0 -6 + 1t = 0 Solving -6 + 1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1t = 0 + 6 1t = 0 + 6 Combine like terms: 0 + 6 = 6 1t = 6 Divide each side by '1'. t = 6 Simplifying t = 6
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