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Simplifying -10 + t = 8 + 3t + 2 Reorder the terms: -10 + t = 8 + 2 + 3t Combine like terms: 8 + 2 = 10 -10 + t = 10 + 3t Solving -10 + t = 10 + 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 + t + -3t = 10 + 3t + -3t Combine like terms: t + -3t = -2t -10 + -2t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 -10 + -2t = 10 + 0 -10 + -2t = 10 Add '10' to each side of the equation. -10 + 10 + -2t = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2t = 10 + 10 -2t = 10 + 10 Combine like terms: 10 + 10 = 20 -2t = 20 Divide each side by '-2'. t = -10 Simplifying t = -10
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