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Simplifying 2 + -2t + -10 = 3t + 5 Reorder the terms: 2 + -10 + -2t = 3t + 5 Combine like terms: 2 + -10 = -8 -8 + -2t = 3t + 5 Reorder the terms: -8 + -2t = 5 + 3t Solving -8 + -2t = 5 + 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. -8 + -2t + -3t = 5 + 3t + -3t Combine like terms: -2t + -3t = -5t -8 + -5t = 5 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + -5t = 5 + 0 -8 + -5t = 5 Add '8' to each side of the equation. -8 + 8 + -5t = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -5t = 5 + 8 -5t = 5 + 8 Combine like terms: 5 + 8 = 13 -5t = 13 Divide each side by '-5'. t = -2.6 Simplifying t = -2.6
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