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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 = 21 -3 + 5t = 21 + -3t Solving -3 + 5t = 21 + -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 = 21 + -3t + 3t Combine like terms: 5t + 3t = 8t -3 + 8t = 21 + -3t + 3t Combine like terms: -3t + 3t = 0 -3 + 8t = 21 + 0 -3 + 8t = 21 Add '3' to each side of the equation. -3 + 3 + 8t = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 8t = 21 + 3 8t = 21 + 3 Combine like terms: 21 + 3 = 24 8t = 24 Divide each side by '8'. t = 3 Simplifying t = 3
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