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Simplifying 3t + 8 = -10 + 5t Reorder the terms: 8 + 3t = -10 + 5t Solving 8 + 3t = -10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 8 + 3t + -5t = -10 + 5t + -5t Combine like terms: 3t + -5t = -2t 8 + -2t = -10 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -2t = -10 + 0 8 + -2t = -10 Add '-8' to each side of the equation. 8 + -8 + -2t = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = -10 + -8 -2t = -10 + -8 Combine like terms: -10 + -8 = -18 -2t = -18 Divide each side by '-2'. t = 9 Simplifying t = 9
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