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Simplifying 12 + -7t = 5t + -4(2 + -3t) 12 + -7t = 5t + (2 * -4 + -3t * -4) 12 + -7t = 5t + (-8 + 12t) Reorder the terms: 12 + -7t = -8 + 5t + 12t Combine like terms: 5t + 12t = 17t 12 + -7t = -8 + 17t Solving 12 + -7t = -8 + 17t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17t' to each side of the equation. 12 + -7t + -17t = -8 + 17t + -17t Combine like terms: -7t + -17t = -24t 12 + -24t = -8 + 17t + -17t Combine like terms: 17t + -17t = 0 12 + -24t = -8 + 0 12 + -24t = -8 Add '-12' to each side of the equation. 12 + -12 + -24t = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -24t = -8 + -12 -24t = -8 + -12 Combine like terms: -8 + -12 = -20 -24t = -20 Divide each side by '-24'. t = 0.8333333333 Simplifying t = 0.8333333333
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