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Simplifying -5(3t + -5) + 7t = 5t + -7 Reorder the terms: -5(-5 + 3t) + 7t = 5t + -7 (-5 * -5 + 3t * -5) + 7t = 5t + -7 (25 + -15t) + 7t = 5t + -7 Combine like terms: -15t + 7t = -8t 25 + -8t = 5t + -7 Reorder the terms: 25 + -8t = -7 + 5t Solving 25 + -8t = -7 + 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. 25 + -8t + -5t = -7 + 5t + -5t Combine like terms: -8t + -5t = -13t 25 + -13t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 25 + -13t = -7 + 0 25 + -13t = -7 Add '-25' to each side of the equation. 25 + -25 + -13t = -7 + -25 Combine like terms: 25 + -25 = 0 0 + -13t = -7 + -25 -13t = -7 + -25 Combine like terms: -7 + -25 = -32 -13t = -32 Divide each side by '-13'. t = 2.461538462 Simplifying t = 2.461538462
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