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Simplifying -5(2t + -5) + 2t = 3t + -7 Reorder the terms: -5(-5 + 2t) + 2t = 3t + -7 (-5 * -5 + 2t * -5) + 2t = 3t + -7 (25 + -10t) + 2t = 3t + -7 Combine like terms: -10t + 2t = -8t 25 + -8t = 3t + -7 Reorder the terms: 25 + -8t = -7 + 3t Solving 25 + -8t = -7 + 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. 25 + -8t + -3t = -7 + 3t + -3t Combine like terms: -8t + -3t = -11t 25 + -11t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 25 + -11t = -7 + 0 25 + -11t = -7 Add '-25' to each side of the equation. 25 + -25 + -11t = -7 + -25 Combine like terms: 25 + -25 = 0 0 + -11t = -7 + -25 -11t = -7 + -25 Combine like terms: -7 + -25 = -32 -11t = -32 Divide each side by '-11'. t = 2.909090909 Simplifying t = 2.909090909
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