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Simplifying -2(t + -5) + 5t = 8t + -7 Reorder the terms: -2(-5 + t) + 5t = 8t + -7 (-5 * -2 + t * -2) + 5t = 8t + -7 (10 + -2t) + 5t = 8t + -7 Combine like terms: -2t + 5t = 3t 10 + 3t = 8t + -7 Reorder the terms: 10 + 3t = -7 + 8t Solving 10 + 3t = -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 + 3t + -8t = -7 + 8t + -8t Combine like terms: 3t + -8t = -5t 10 + -5t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -5t = -7 + 0 10 + -5t = -7 Add '-10' to each side of the equation. 10 + -10 + -5t = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -5t = -7 + -10 -5t = -7 + -10 Combine like terms: -7 + -10 = -17 -5t = -17 Divide each side by '-5'. t = 3.4 Simplifying t = 3.4
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