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Simplifying t(3 + -7) = -8t + 32 Combine like terms: 3 + -7 = -4 t(-4) = -8t + 32 Reorder the terms for easier multiplication: -4t = -8t + 32 Reorder the terms: -4t = 32 + -8t Solving -4t = 32 + -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. -4t + 8t = 32 + -8t + 8t Combine like terms: -4t + 8t = 4t 4t = 32 + -8t + 8t Combine like terms: -8t + 8t = 0 4t = 32 + 0 4t = 32 Divide each side by '4'. t = 8 Simplifying t = 8
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