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Simplifying 2(3t + -2) + t = 12t Reorder the terms: 2(-2 + 3t) + t = 12t (-2 * 2 + 3t * 2) + t = 12t (-4 + 6t) + t = 12t Combine like terms: 6t + t = 7t -4 + 7t = 12t Solving -4 + 7t = 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -4 + 7t + -12t = 12t + -12t Combine like terms: 7t + -12t = -5t -4 + -5t = 12t + -12t Combine like terms: 12t + -12t = 0 -4 + -5t = 0 Add '4' to each side of the equation. -4 + 4 + -5t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5t = 0 + 4 -5t = 0 + 4 Combine like terms: 0 + 4 = 4 -5t = 4 Divide each side by '-5'. t = -0.8 Simplifying t = -0.8
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