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Simplifying 5t + -3 = 26 + 3(1 + -1t) Reorder the terms: -3 + 5t = 26 + 3(1 + -1t) -3 + 5t = 26 + (1 * 3 + -1t * 3) -3 + 5t = 26 + (3 + -3t) Combine like terms: 26 + 3 = 29 -3 + 5t = 29 + -3t Solving -3 + 5t = 29 + -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 = 29 + -3t + 3t Combine like terms: 5t + 3t = 8t -3 + 8t = 29 + -3t + 3t Combine like terms: -3t + 3t = 0 -3 + 8t = 29 + 0 -3 + 8t = 29 Add '3' to each side of the equation. -3 + 3 + 8t = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 8t = 29 + 3 8t = 29 + 3 Combine like terms: 29 + 3 = 32 8t = 32 Divide each side by '8'. t = 4 Simplifying t = 4
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