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Simplifying 3(2 + -4) + 2t = 24 + -1t Combine like terms: 2 + -4 = -2 3(-2) + 2t = 24 + -1t Multiply 3 * -2 -6 + 2t = 24 + -1t Solving -6 + 2t = 24 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -6 + 2t + t = 24 + -1t + t Combine like terms: 2t + t = 3t -6 + 3t = 24 + -1t + t Combine like terms: -1t + t = 0 -6 + 3t = 24 + 0 -6 + 3t = 24 Add '6' to each side of the equation. -6 + 6 + 3t = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 3t = 24 + 6 3t = 24 + 6 Combine like terms: 24 + 6 = 30 3t = 30 Divide each side by '3'. t = 10 Simplifying t = 10
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