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Simplifying 3t + -1(10 + -1t) = t + 2 3t + (10 * -1 + -1t * -1) = t + 2 3t + (-10 + 1t) = t + 2 Reorder the terms: -10 + 3t + 1t = t + 2 Combine like terms: 3t + 1t = 4t -10 + 4t = t + 2 Reorder the terms: -10 + 4t = 2 + t Solving -10 + 4t = 2 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -10 + 4t + -1t = 2 + t + -1t Combine like terms: 4t + -1t = 3t -10 + 3t = 2 + t + -1t Combine like terms: t + -1t = 0 -10 + 3t = 2 + 0 -10 + 3t = 2 Add '10' to each side of the equation. -10 + 10 + 3t = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 3t = 2 + 10 3t = 2 + 10 Combine like terms: 2 + 10 = 12 3t = 12 Divide each side by '3'. t = 4 Simplifying t = 4
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