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Simplifying -4(3t + -9) = 8(8 + -1t) Reorder the terms: -4(-9 + 3t) = 8(8 + -1t) (-9 * -4 + 3t * -4) = 8(8 + -1t) (36 + -12t) = 8(8 + -1t) 36 + -12t = (8 * 8 + -1t * 8) 36 + -12t = (64 + -8t) Solving 36 + -12t = 64 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 36 + -12t + 8t = 64 + -8t + 8t Combine like terms: -12t + 8t = -4t 36 + -4t = 64 + -8t + 8t Combine like terms: -8t + 8t = 0 36 + -4t = 64 + 0 36 + -4t = 64 Add '-36' to each side of the equation. 36 + -36 + -4t = 64 + -36 Combine like terms: 36 + -36 = 0 0 + -4t = 64 + -36 -4t = 64 + -36 Combine like terms: 64 + -36 = 28 -4t = 28 Divide each side by '-4'. t = -7 Simplifying t = -7
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