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Simplifying -5(2t + -5) + 6t = 3t + -8 Reorder the terms: -5(-5 + 2t) + 6t = 3t + -8 (-5 * -5 + 2t * -5) + 6t = 3t + -8 (25 + -10t) + 6t = 3t + -8 Combine like terms: -10t + 6t = -4t 25 + -4t = 3t + -8 Reorder the terms: 25 + -4t = -8 + 3t Solving 25 + -4t = -8 + 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 + -4t + -3t = -8 + 3t + -3t Combine like terms: -4t + -3t = -7t 25 + -7t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 25 + -7t = -8 + 0 25 + -7t = -8 Add '-25' to each side of the equation. 25 + -25 + -7t = -8 + -25 Combine like terms: 25 + -25 = 0 0 + -7t = -8 + -25 -7t = -8 + -25 Combine like terms: -8 + -25 = -33 -7t = -33 Divide each side by '-7'. t = 4.714285714 Simplifying t = 4.714285714
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