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Simplifying 12t + -4(t + -6) = 32 Reorder the terms: 12t + -4(-6 + t) = 32 12t + (-6 * -4 + t * -4) = 32 12t + (24 + -4t) = 32 Reorder the terms: 24 + 12t + -4t = 32 Combine like terms: 12t + -4t = 8t 24 + 8t = 32 Solving 24 + 8t = 32 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8t = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 8t = 32 + -24 8t = 32 + -24 Combine like terms: 32 + -24 = 8 8t = 8 Divide each side by '8'. t = 1 Simplifying t = 1
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