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Simplifying 4 + 8t + -5 = 3(t + 8) Reorder the terms: 4 + -5 + 8t = 3(t + 8) Combine like terms: 4 + -5 = -1 -1 + 8t = 3(t + 8) Reorder the terms: -1 + 8t = 3(8 + t) -1 + 8t = (8 * 3 + t * 3) -1 + 8t = (24 + 3t) Solving -1 + 8t = 24 + 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. -1 + 8t + -3t = 24 + 3t + -3t Combine like terms: 8t + -3t = 5t -1 + 5t = 24 + 3t + -3t Combine like terms: 3t + -3t = 0 -1 + 5t = 24 + 0 -1 + 5t = 24 Add '1' to each side of the equation. -1 + 1 + 5t = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 5t = 24 + 1 5t = 24 + 1 Combine like terms: 24 + 1 = 25 5t = 25 Divide each side by '5'. t = 5 Simplifying t = 5
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