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Simplifying 2 = 5t + -2(3t + 1) Reorder the terms: 2 = 5t + -2(1 + 3t) 2 = 5t + (1 * -2 + 3t * -2) 2 = 5t + (-2 + -6t) Reorder the terms: 2 = -2 + 5t + -6t Combine like terms: 5t + -6t = -1t 2 = -2 + -1t Solving 2 = -2 + -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 + t = -2 + -1t + t Combine like terms: -1t + t = 0 2 + t = -2 + 0 2 + t = -2 Add '-2' to each side of the equation. 2 + -2 + t = -2 + -2 Combine like terms: 2 + -2 = 0 0 + t = -2 + -2 t = -2 + -2 Combine like terms: -2 + -2 = -4 t = -4 Simplifying t = -4
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