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Simplifying 5(t + -12) + -2t = -30 Reorder the terms: 5(-12 + t) + -2t = -30 (-12 * 5 + t * 5) + -2t = -30 (-60 + 5t) + -2t = -30 Combine like terms: 5t + -2t = 3t -60 + 3t = -30 Solving -60 + 3t = -30 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 3t = -30 + 60 Combine like terms: -60 + 60 = 0 0 + 3t = -30 + 60 3t = -30 + 60 Combine like terms: -30 + 60 = 30 3t = 30 Divide each side by '3'. t = 10 Simplifying t = 10
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