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Simplifying 2(6 + -5t) + -2(1 + t) = 58 (6 * 2 + -5t * 2) + -2(1 + t) = 58 (12 + -10t) + -2(1 + t) = 58 12 + -10t + (1 * -2 + t * -2) = 58 12 + -10t + (-2 + -2t) = 58 Reorder the terms: 12 + -2 + -10t + -2t = 58 Combine like terms: 12 + -2 = 10 10 + -10t + -2t = 58 Combine like terms: -10t + -2t = -12t 10 + -12t = 58 Solving 10 + -12t = 58 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -12t = 58 + -10 Combine like terms: 10 + -10 = 0 0 + -12t = 58 + -10 -12t = 58 + -10 Combine like terms: 58 + -10 = 48 -12t = 48 Divide each side by '-12'. t = -4 Simplifying t = -4
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