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Simplifying 12 + -7(3t + 2) = 5t Reorder the terms: 12 + -7(2 + 3t) = 5t 12 + (2 * -7 + 3t * -7) = 5t 12 + (-14 + -21t) = 5t Combine like terms: 12 + -14 = -2 -2 + -21t = 5t Solving -2 + -21t = 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. -2 + -21t + -5t = 5t + -5t Combine like terms: -21t + -5t = -26t -2 + -26t = 5t + -5t Combine like terms: 5t + -5t = 0 -2 + -26t = 0 Add '2' to each side of the equation. -2 + 2 + -26t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -26t = 0 + 2 -26t = 0 + 2 Combine like terms: 0 + 2 = 2 -26t = 2 Divide each side by '-26'. t = -0.07692307692 Simplifying t = -0.07692307692
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