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Simplifying 3t + -5 + -2(2t + -4) = 0 Reorder the terms: 3t + -5 + -2(-4 + 2t) = 0 3t + -5 + (-4 * -2 + 2t * -2) = 0 3t + -5 + (8 + -4t) = 0 Reorder the terms: -5 + 8 + 3t + -4t = 0 Combine like terms: -5 + 8 = 3 3 + 3t + -4t = 0 Combine like terms: 3t + -4t = -1t 3 + -1t = 0 Solving 3 + -1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3
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