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Simplifying 12t + -4(t + -5) = 52 Reorder the terms: 12t + -4(-5 + t) = 52 12t + (-5 * -4 + t * -4) = 52 12t + (20 + -4t) = 52 Reorder the terms: 20 + 12t + -4t = 52 Combine like terms: 12t + -4t = 8t 20 + 8t = 52 Solving 20 + 8t = 52 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8t = 52 + -20 Combine like terms: 20 + -20 = 0 0 + 8t = 52 + -20 8t = 52 + -20 Combine like terms: 52 + -20 = 32 8t = 32 Divide each side by '8'. t = 4 Simplifying t = 4
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