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Simplifying 10 + -3t = 5t + -8 Reorder the terms: 10 + -3t = -8 + 5t Solving 10 + -3t = -8 + 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. 10 + -3t + -5t = -8 + 5t + -5t Combine like terms: -3t + -5t = -8t 10 + -8t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + -8t = -8 + 0 10 + -8t = -8 Add '-10' to each side of the equation. 10 + -10 + -8t = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -8t = -8 + -10 -8t = -8 + -10 Combine like terms: -8 + -10 = -18 -8t = -18 Divide each side by '-8'. t = 2.25 Simplifying t = 2.25
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