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Simplifying -5(t + -2) + 7t = 8t + -7 Reorder the terms: -5(-2 + t) + 7t = 8t + -7 (-2 * -5 + t * -5) + 7t = 8t + -7 (10 + -5t) + 7t = 8t + -7 Combine like terms: -5t + 7t = 2t 10 + 2t = 8t + -7 Reorder the terms: 10 + 2t = -7 + 8t Solving 10 + 2t = -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. 10 + 2t + -8t = -7 + 8t + -8t Combine like terms: 2t + -8t = -6t 10 + -6t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -6t = -7 + 0 10 + -6t = -7 Add '-10' to each side of the equation. 10 + -10 + -6t = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -6t = -7 + -10 -6t = -7 + -10 Combine like terms: -7 + -10 = -17 -6t = -17 Divide each side by '-6'. t = 2.833333333 Simplifying t = 2.833333333
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