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Simplifying 2(t + 2) + 5t = 6t + 2 Reorder the terms: 2(2 + t) + 5t = 6t + 2 (2 * 2 + t * 2) + 5t = 6t + 2 (4 + 2t) + 5t = 6t + 2 Combine like terms: 2t + 5t = 7t 4 + 7t = 6t + 2 Reorder the terms: 4 + 7t = 2 + 6t Solving 4 + 7t = 2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 4 + 7t + -6t = 2 + 6t + -6t Combine like terms: 7t + -6t = 1t 4 + 1t = 2 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + 1t = 2 + 0 4 + 1t = 2 Add '-4' to each side of the equation. 4 + -4 + 1t = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1t = 2 + -4 1t = 2 + -4 Combine like terms: 2 + -4 = -2 1t = -2 Divide each side by '1'. t = -2 Simplifying t = -2
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