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Simplifying 2 + -1(t + 2) + 5t = 6t + 2 Reorder the terms: 2 + -1(2 + t) + 5t = 6t + 2 2 + (2 * -1 + t * -1) + 5t = 6t + 2 2 + (-2 + -1t) + 5t = 6t + 2 Combine like terms: 2 + -2 = 0 0 + -1t + 5t = 6t + 2 -1t + 5t = 6t + 2 Combine like terms: -1t + 5t = 4t 4t = 6t + 2 Reorder the terms: 4t = 2 + 6t Solving 4t = 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. 4t + -6t = 2 + 6t + -6t Combine like terms: 4t + -6t = -2t -2t = 2 + 6t + -6t Combine like terms: 6t + -6t = 0 -2t = 2 + 0 -2t = 2 Divide each side by '-2'. t = -1 Simplifying t = -1
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