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Simplifying 12(t + 2) = 5(t + -11) + 51 Reorder the terms: 12(2 + t) = 5(t + -11) + 51 (2 * 12 + t * 12) = 5(t + -11) + 51 (24 + 12t) = 5(t + -11) + 51 Reorder the terms: 24 + 12t = 5(-11 + t) + 51 24 + 12t = (-11 * 5 + t * 5) + 51 24 + 12t = (-55 + 5t) + 51 Reorder the terms: 24 + 12t = -55 + 51 + 5t Combine like terms: -55 + 51 = -4 24 + 12t = -4 + 5t Solving 24 + 12t = -4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 24 + 12t + -5t = -4 + 5t + -5t Combine like terms: 12t + -5t = 7t 24 + 7t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 24 + 7t = -4 + 0 24 + 7t = -4 Add '-24' to each side of the equation. 24 + -24 + 7t = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 7t = -4 + -24 7t = -4 + -24 Combine like terms: -4 + -24 = -28 7t = -28 Divide each side by '7'. t = -4 Simplifying t = -4
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