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Simplifying 5t + -2(t + -5) = 19 Reorder the terms: 5t + -2(-5 + t) = 19 5t + (-5 * -2 + t * -2) = 19 5t + (10 + -2t) = 19 Reorder the terms: 10 + 5t + -2t = 19 Combine like terms: 5t + -2t = 3t 10 + 3t = 19 Solving 10 + 3t = 19 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 + 3t = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 3t = 19 + -10 3t = 19 + -10 Combine like terms: 19 + -10 = 9 3t = 9 Divide each side by '3'. t = 3 Simplifying t = 3
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