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Simplifying 5(t + 1) = 3(t + -3) Reorder the terms: 5(1 + t) = 3(t + -3) (1 * 5 + t * 5) = 3(t + -3) (5 + 5t) = 3(t + -3) Reorder the terms: 5 + 5t = 3(-3 + t) 5 + 5t = (-3 * 3 + t * 3) 5 + 5t = (-9 + 3t) Solving 5 + 5t = -9 + 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. 5 + 5t + -3t = -9 + 3t + -3t Combine like terms: 5t + -3t = 2t 5 + 2t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + 2t = -9 + 0 5 + 2t = -9 Add '-5' to each side of the equation. 5 + -5 + 2t = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 2t = -9 + -5 2t = -9 + -5 Combine like terms: -9 + -5 = -14 2t = -14 Divide each side by '2'. t = -7 Simplifying t = -7
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