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Simplifying 2(6t + 1) + -4(t + 1) = 0 Reorder the terms: 2(1 + 6t) + -4(t + 1) = 0 (1 * 2 + 6t * 2) + -4(t + 1) = 0 (2 + 12t) + -4(t + 1) = 0 Reorder the terms: 2 + 12t + -4(1 + t) = 0 2 + 12t + (1 * -4 + t * -4) = 0 2 + 12t + (-4 + -4t) = 0 Reorder the terms: 2 + -4 + 12t + -4t = 0 Combine like terms: 2 + -4 = -2 -2 + 12t + -4t = 0 Combine like terms: 12t + -4t = 8t -2 + 8t = 0 Solving -2 + 8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8t = 0 + 2 8t = 0 + 2 Combine like terms: 0 + 2 = 2 8t = 2 Divide each side by '8'. t = 0.25 Simplifying t = 0.25
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