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Simplifying 3t + -20 + 6t + -2 = 8t + -10 + 2t Reorder the terms: -20 + -2 + 3t + 6t = 8t + -10 + 2t Combine like terms: -20 + -2 = -22 -22 + 3t + 6t = 8t + -10 + 2t Combine like terms: 3t + 6t = 9t -22 + 9t = 8t + -10 + 2t Reorder the terms: -22 + 9t = -10 + 8t + 2t Combine like terms: 8t + 2t = 10t -22 + 9t = -10 + 10t Solving -22 + 9t = -10 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -22 + 9t + -10t = -10 + 10t + -10t Combine like terms: 9t + -10t = -1t -22 + -1t = -10 + 10t + -10t Combine like terms: 10t + -10t = 0 -22 + -1t = -10 + 0 -22 + -1t = -10 Add '22' to each side of the equation. -22 + 22 + -1t = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -1t = -10 + 22 -1t = -10 + 22 Combine like terms: -10 + 22 = 12 -1t = 12 Divide each side by '-1'. t = -12 Simplifying t = -12
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