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Simplifying (3t + 3.25) + (t + -6) + (4t + 2.5) = 0 Reorder the terms: (3.25 + 3t) + (t + -6) + (4t + 2.5) = 0 Remove parenthesis around (3.25 + 3t) 3.25 + 3t + (t + -6) + (4t + 2.5) = 0 Reorder the terms: 3.25 + 3t + (-6 + t) + (4t + 2.5) = 0 Remove parenthesis around (-6 + t) 3.25 + 3t + -6 + t + (4t + 2.5) = 0 Reorder the terms: 3.25 + 3t + -6 + t + (2.5 + 4t) = 0 Remove parenthesis around (2.5 + 4t) 3.25 + 3t + -6 + t + 2.5 + 4t = 0 Reorder the terms: 3.25 + -6 + 2.5 + 3t + t + 4t = 0 Combine like terms: 3.25 + -6 = -2.75 -2.75 + 2.5 + 3t + t + 4t = 0 Combine like terms: -2.75 + 2.5 = -0.25 -0.25 + 3t + t + 4t = 0 Combine like terms: 3t + t = 4t -0.25 + 4t + 4t = 0 Combine like terms: 4t + 4t = 8t -0.25 + 8t = 0 Solving -0.25 + 8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + 8t = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 8t = 0 + 0.25 8t = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 8t = 0.25 Divide each side by '8'. t = 0.03125 Simplifying t = 0.03125
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