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Simplifying -2(4t + -5) + 5t = 3t + -3 Reorder the terms: -2(-5 + 4t) + 5t = 3t + -3 (-5 * -2 + 4t * -2) + 5t = 3t + -3 (10 + -8t) + 5t = 3t + -3 Combine like terms: -8t + 5t = -3t 10 + -3t = 3t + -3 Reorder the terms: 10 + -3t = -3 + 3t Solving 10 + -3t = -3 + 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. 10 + -3t + -3t = -3 + 3t + -3t Combine like terms: -3t + -3t = -6t 10 + -6t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + -6t = -3 + 0 10 + -6t = -3 Add '-10' to each side of the equation. 10 + -10 + -6t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -6t = -3 + -10 -6t = -3 + -10 Combine like terms: -3 + -10 = -13 -6t = -13 Divide each side by '-6'. t = 2.166666667 Simplifying t = 2.166666667
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