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Simplifying 2(3t + -2) + 2 = 12 + -1t Reorder the terms: 2(-2 + 3t) + 2 = 12 + -1t (-2 * 2 + 3t * 2) + 2 = 12 + -1t (-4 + 6t) + 2 = 12 + -1t Reorder the terms: -4 + 2 + 6t = 12 + -1t Combine like terms: -4 + 2 = -2 -2 + 6t = 12 + -1t Solving -2 + 6t = 12 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -2 + 6t + t = 12 + -1t + t Combine like terms: 6t + t = 7t -2 + 7t = 12 + -1t + t Combine like terms: -1t + t = 0 -2 + 7t = 12 + 0 -2 + 7t = 12 Add '2' to each side of the equation. -2 + 2 + 7t = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7t = 12 + 2 7t = 12 + 2 Combine like terms: 12 + 2 = 14 7t = 14 Divide each side by '7'. t = 2 Simplifying t = 2
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