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Simplifying 19 = 5t + -2(t + -5) Reorder the terms: 19 = 5t + -2(-5 + t) 19 = 5t + (-5 * -2 + t * -2) 19 = 5t + (10 + -2t) Reorder the terms: 19 = 10 + 5t + -2t Combine like terms: 5t + -2t = 3t 19 = 10 + 3t Solving 19 = 10 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 19 + -3t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 19 + -3t = 10 + 0 19 + -3t = 10 Add '-19' to each side of the equation. 19 + -19 + -3t = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -3t = 10 + -19 -3t = 10 + -19 Combine like terms: 10 + -19 = -9 -3t = -9 Divide each side by '-3'. t = 3 Simplifying t = 3
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