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Simplifying 2 + -3(t + -5) = 4 + 1 Reorder the terms: 2 + -3(-5 + t) = 4 + 1 2 + (-5 * -3 + t * -3) = 4 + 1 2 + (15 + -3t) = 4 + 1 Combine like terms: 2 + 15 = 17 17 + -3t = 4 + 1 Combine like terms: 4 + 1 = 5 17 + -3t = 5 Solving 17 + -3t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3t = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -3t = 5 + -17 -3t = 5 + -17 Combine like terms: 5 + -17 = -12 -3t = -12 Divide each side by '-3'. t = 4 Simplifying t = 4
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