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Simplifying 3(t + -8) + 2t = 7 + t Reorder the terms: 3(-8 + t) + 2t = 7 + t (-8 * 3 + t * 3) + 2t = 7 + t (-24 + 3t) + 2t = 7 + t Combine like terms: 3t + 2t = 5t -24 + 5t = 7 + t Solving -24 + 5t = 7 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -24 + 5t + -1t = 7 + t + -1t Combine like terms: 5t + -1t = 4t -24 + 4t = 7 + t + -1t Combine like terms: t + -1t = 0 -24 + 4t = 7 + 0 -24 + 4t = 7 Add '24' to each side of the equation. -24 + 24 + 4t = 7 + 24 Combine like terms: -24 + 24 = 0 0 + 4t = 7 + 24 4t = 7 + 24 Combine like terms: 7 + 24 = 31 4t = 31 Divide each side by '4'. t = 7.75 Simplifying t = 7.75
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