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Simplifying 2(7t + -5) + -4(2t + -3) = 0 Reorder the terms: 2(-5 + 7t) + -4(2t + -3) = 0 (-5 * 2 + 7t * 2) + -4(2t + -3) = 0 (-10 + 14t) + -4(2t + -3) = 0 Reorder the terms: -10 + 14t + -4(-3 + 2t) = 0 -10 + 14t + (-3 * -4 + 2t * -4) = 0 -10 + 14t + (12 + -8t) = 0 Reorder the terms: -10 + 12 + 14t + -8t = 0 Combine like terms: -10 + 12 = 2 2 + 14t + -8t = 0 Combine like terms: 14t + -8t = 6t 2 + 6t = 0 Solving 2 + 6t = 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 + 6t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6t = 0 + -2 6t = 0 + -2 Combine like terms: 0 + -2 = -2 6t = -2 Divide each side by '6'. t = -0.3333333333 Simplifying t = -0.3333333333
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