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Simplifying 4(2 + -3) + 3t = 24 + -1t Combine like terms: 2 + -3 = -1 4(-1) + 3t = 24 + -1t Multiply 4 * -1 -4 + 3t = 24 + -1t Solving -4 + 3t = 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. -4 + 3t + t = 24 + -1t + t Combine like terms: 3t + t = 4t -4 + 4t = 24 + -1t + t Combine like terms: -1t + t = 0 -4 + 4t = 24 + 0 -4 + 4t = 24 Add '4' to each side of the equation. -4 + 4 + 4t = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 4t = 24 + 4 4t = 24 + 4 Combine like terms: 24 + 4 = 28 4t = 28 Divide each side by '4'. t = 7 Simplifying t = 7
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