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Simplifying 8t + -5 + 2t = 5 + 5t + -12 Reorder the terms: -5 + 8t + 2t = 5 + 5t + -12 Combine like terms: 8t + 2t = 10t -5 + 10t = 5 + 5t + -12 Reorder the terms: -5 + 10t = 5 + -12 + 5t Combine like terms: 5 + -12 = -7 -5 + 10t = -7 + 5t Solving -5 + 10t = -7 + 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. -5 + 10t + -5t = -7 + 5t + -5t Combine like terms: 10t + -5t = 5t -5 + 5t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 -5 + 5t = -7 + 0 -5 + 5t = -7 Add '5' to each side of the equation. -5 + 5 + 5t = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 5t = -7 + 5 5t = -7 + 5 Combine like terms: -7 + 5 = -2 5t = -2 Divide each side by '5'. t = -0.4 Simplifying t = -0.4
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