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Simplifying -2(t + -5) + 9t = 5t + -3 Reorder the terms: -2(-5 + t) + 9t = 5t + -3 (-5 * -2 + t * -2) + 9t = 5t + -3 (10 + -2t) + 9t = 5t + -3 Combine like terms: -2t + 9t = 7t 10 + 7t = 5t + -3 Reorder the terms: 10 + 7t = -3 + 5t Solving 10 + 7t = -3 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 10 + 7t + -5t = -3 + 5t + -5t Combine like terms: 7t + -5t = 2t 10 + 2t = -3 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + 2t = -3 + 0 10 + 2t = -3 Add '-10' to each side of the equation. 10 + -10 + 2t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 2t = -3 + -10 2t = -3 + -10 Combine like terms: -3 + -10 = -13 2t = -13 Divide each side by '2'. t = -6.5 Simplifying t = -6.5
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