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Simplifying 10 + -3t = 8t + -12 Reorder the terms: 10 + -3t = -12 + 8t Solving 10 + -3t = -12 + 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 = -12 + 8t + -8t Combine like terms: -3t + -8t = -11t 10 + -11t = -12 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -11t = -12 + 0 10 + -11t = -12 Add '-10' to each side of the equation. 10 + -10 + -11t = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -11t = -12 + -10 -11t = -12 + -10 Combine like terms: -12 + -10 = -22 -11t = -22 Divide each side by '-11'. t = 2 Simplifying t = 2
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