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Simplifying -5(2t + -5) + 7t = 6t + -9 Reorder the terms: -5(-5 + 2t) + 7t = 6t + -9 (-5 * -5 + 2t * -5) + 7t = 6t + -9 (25 + -10t) + 7t = 6t + -9 Combine like terms: -10t + 7t = -3t 25 + -3t = 6t + -9 Reorder the terms: 25 + -3t = -9 + 6t Solving 25 + -3t = -9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 25 + -3t + -6t = -9 + 6t + -6t Combine like terms: -3t + -6t = -9t 25 + -9t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 25 + -9t = -9 + 0 25 + -9t = -9 Add '-25' to each side of the equation. 25 + -25 + -9t = -9 + -25 Combine like terms: 25 + -25 = 0 0 + -9t = -9 + -25 -9t = -9 + -25 Combine like terms: -9 + -25 = -34 -9t = -34 Divide each side by '-9'. t = 3.777777778 Simplifying t = 3.777777778
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