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Simplifying -2(5t + -2) + 4t = 3t + -4 Reorder the terms: -2(-2 + 5t) + 4t = 3t + -4 (-2 * -2 + 5t * -2) + 4t = 3t + -4 (4 + -10t) + 4t = 3t + -4 Combine like terms: -10t + 4t = -6t 4 + -6t = 3t + -4 Reorder the terms: 4 + -6t = -4 + 3t Solving 4 + -6t = -4 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 4 + -6t + -3t = -4 + 3t + -3t Combine like terms: -6t + -3t = -9t 4 + -9t = -4 + 3t + -3t Combine like terms: 3t + -3t = 0 4 + -9t = -4 + 0 4 + -9t = -4 Add '-4' to each side of the equation. 4 + -4 + -9t = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -9t = -4 + -4 -9t = -4 + -4 Combine like terms: -4 + -4 = -8 -9t = -8 Divide each side by '-9'. t = 0.8888888889 Simplifying t = 0.8888888889
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