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Simplifying -5(3t + -5) + 3t = 7t + -8 Reorder the terms: -5(-5 + 3t) + 3t = 7t + -8 (-5 * -5 + 3t * -5) + 3t = 7t + -8 (25 + -15t) + 3t = 7t + -8 Combine like terms: -15t + 3t = -12t 25 + -12t = 7t + -8 Reorder the terms: 25 + -12t = -8 + 7t Solving 25 + -12t = -8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 25 + -12t + -7t = -8 + 7t + -7t Combine like terms: -12t + -7t = -19t 25 + -19t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 25 + -19t = -8 + 0 25 + -19t = -8 Add '-25' to each side of the equation. 25 + -25 + -19t = -8 + -25 Combine like terms: 25 + -25 = 0 0 + -19t = -8 + -25 -19t = -8 + -25 Combine like terms: -8 + -25 = -33 -19t = -33 Divide each side by '-19'. t = 1.736842105 Simplifying t = 1.736842105
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