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Simplifying 2t + 5(t + -3 * 4) = 21 + -9 + 3t Multiply -3 * 4 2t + 5(t + -12) = 21 + -9 + 3t Reorder the terms: 2t + 5(-12 + t) = 21 + -9 + 3t 2t + (-12 * 5 + t * 5) = 21 + -9 + 3t 2t + (-60 + 5t) = 21 + -9 + 3t Reorder the terms: -60 + 2t + 5t = 21 + -9 + 3t Combine like terms: 2t + 5t = 7t -60 + 7t = 21 + -9 + 3t Combine like terms: 21 + -9 = 12 -60 + 7t = 12 + 3t Solving -60 + 7t = 12 + 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. -60 + 7t + -3t = 12 + 3t + -3t Combine like terms: 7t + -3t = 4t -60 + 4t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 -60 + 4t = 12 + 0 -60 + 4t = 12 Add '60' to each side of the equation. -60 + 60 + 4t = 12 + 60 Combine like terms: -60 + 60 = 0 0 + 4t = 12 + 60 4t = 12 + 60 Combine like terms: 12 + 60 = 72 4t = 72 Divide each side by '4'. t = 18 Simplifying t = 18
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