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Simplifying 4(2t + -4) + 3t = 32 + -1t Reorder the terms: 4(-4 + 2t) + 3t = 32 + -1t (-4 * 4 + 2t * 4) + 3t = 32 + -1t (-16 + 8t) + 3t = 32 + -1t Combine like terms: 8t + 3t = 11t -16 + 11t = 32 + -1t Solving -16 + 11t = 32 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -16 + 11t + t = 32 + -1t + t Combine like terms: 11t + t = 12t -16 + 12t = 32 + -1t + t Combine like terms: -1t + t = 0 -16 + 12t = 32 + 0 -16 + 12t = 32 Add '16' to each side of the equation. -16 + 16 + 12t = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 12t = 32 + 16 12t = 32 + 16 Combine like terms: 32 + 16 = 48 12t = 48 Divide each side by '12'. t = 4 Simplifying t = 4
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