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Simplifying -5(6t + -5) + 6t = 3t + -3 Reorder the terms: -5(-5 + 6t) + 6t = 3t + -3 (-5 * -5 + 6t * -5) + 6t = 3t + -3 (25 + -30t) + 6t = 3t + -3 Combine like terms: -30t + 6t = -24t 25 + -24t = 3t + -3 Reorder the terms: 25 + -24t = -3 + 3t Solving 25 + -24t = -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. 25 + -24t + -3t = -3 + 3t + -3t Combine like terms: -24t + -3t = -27t 25 + -27t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 25 + -27t = -3 + 0 25 + -27t = -3 Add '-25' to each side of the equation. 25 + -25 + -27t = -3 + -25 Combine like terms: 25 + -25 = 0 0 + -27t = -3 + -25 -27t = -3 + -25 Combine like terms: -3 + -25 = -28 -27t = -28 Divide each side by '-27'. t = 1.037037037 Simplifying t = 1.037037037
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