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Simplifying 2(t + 3) + -4(t + 1) = 0 Reorder the terms: 2(3 + t) + -4(t + 1) = 0 (3 * 2 + t * 2) + -4(t + 1) = 0 (6 + 2t) + -4(t + 1) = 0 Reorder the terms: 6 + 2t + -4(1 + t) = 0 6 + 2t + (1 * -4 + t * -4) = 0 6 + 2t + (-4 + -4t) = 0 Reorder the terms: 6 + -4 + 2t + -4t = 0 Combine like terms: 6 + -4 = 2 2 + 2t + -4t = 0 Combine like terms: 2t + -4t = -2t 2 + -2t = 0 Solving 2 + -2t = 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 + -2t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = 0 + -2 -2t = 0 + -2 Combine like terms: 0 + -2 = -2 -2t = -2 Divide each side by '-2'. t = 1 Simplifying t = 1
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