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Simplifying -4(5t + -3) + 2t = 8t + -7 Reorder the terms: -4(-3 + 5t) + 2t = 8t + -7 (-3 * -4 + 5t * -4) + 2t = 8t + -7 (12 + -20t) + 2t = 8t + -7 Combine like terms: -20t + 2t = -18t 12 + -18t = 8t + -7 Reorder the terms: 12 + -18t = -7 + 8t Solving 12 + -18t = -7 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 12 + -18t + -8t = -7 + 8t + -8t Combine like terms: -18t + -8t = -26t 12 + -26t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + -26t = -7 + 0 12 + -26t = -7 Add '-12' to each side of the equation. 12 + -12 + -26t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -26t = -7 + -12 -26t = -7 + -12 Combine like terms: -7 + -12 = -19 -26t = -19 Divide each side by '-26'. t = 0.7307692308 Simplifying t = 0.7307692308
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