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Simplifying 4(2t + -9) + -12t = 10 + -3t Reorder the terms: 4(-9 + 2t) + -12t = 10 + -3t (-9 * 4 + 2t * 4) + -12t = 10 + -3t (-36 + 8t) + -12t = 10 + -3t Combine like terms: 8t + -12t = -4t -36 + -4t = 10 + -3t Solving -36 + -4t = 10 + -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. -36 + -4t + 3t = 10 + -3t + 3t Combine like terms: -4t + 3t = -1t -36 + -1t = 10 + -3t + 3t Combine like terms: -3t + 3t = 0 -36 + -1t = 10 + 0 -36 + -1t = 10 Add '36' to each side of the equation. -36 + 36 + -1t = 10 + 36 Combine like terms: -36 + 36 = 0 0 + -1t = 10 + 36 -1t = 10 + 36 Combine like terms: 10 + 36 = 46 -1t = 46 Divide each side by '-1'. t = -46 Simplifying t = -46
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