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Simplifying 5t + -3 = 18 + -3(1 + -1t) Reorder the terms: -3 + 5t = 18 + -3(1 + -1t) -3 + 5t = 18 + (1 * -3 + -1t * -3) -3 + 5t = 18 + (-3 + 3t) Combine like terms: 18 + -3 = 15 -3 + 5t = 15 + 3t Solving -3 + 5t = 15 + 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. -3 + 5t + -3t = 15 + 3t + -3t Combine like terms: 5t + -3t = 2t -3 + 2t = 15 + 3t + -3t Combine like terms: 3t + -3t = 0 -3 + 2t = 15 + 0 -3 + 2t = 15 Add '3' to each side of the equation. -3 + 3 + 2t = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2t = 15 + 3 2t = 15 + 3 Combine like terms: 15 + 3 = 18 2t = 18 Divide each side by '2'. t = 9 Simplifying t = 9
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