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Simplifying 2 + -3t + 8 = 3t + -8 Reorder the terms: 2 + 8 + -3t = 3t + -8 Combine like terms: 2 + 8 = 10 10 + -3t = 3t + -8 Reorder the terms: 10 + -3t = -8 + 3t Solving 10 + -3t = -8 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 10 + -3t + -3t = -8 + 3t + -3t Combine like terms: -3t + -3t = -6t 10 + -6t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + -6t = -8 + 0 10 + -6t = -8 Add '-10' to each side of the equation. 10 + -10 + -6t = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6t = -8 + -10 -6t = -8 + -10 Combine like terms: -8 + -10 = -18 -6t = -18 Divide each side by '-6'. t = 3 Simplifying t = 3
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