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Simplifying (8t + -3) = 3(t + 1) + 3 Reorder the terms: (-3 + 8t) = 3(t + 1) + 3 Remove parenthesis around (-3 + 8t) -3 + 8t = 3(t + 1) + 3 Reorder the terms: -3 + 8t = 3(1 + t) + 3 -3 + 8t = (1 * 3 + t * 3) + 3 -3 + 8t = (3 + 3t) + 3 Reorder the terms: -3 + 8t = 3 + 3 + 3t Combine like terms: 3 + 3 = 6 -3 + 8t = 6 + 3t Solving -3 + 8t = 6 + 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 + 8t + -3t = 6 + 3t + -3t Combine like terms: 8t + -3t = 5t -3 + 5t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 -3 + 5t = 6 + 0 -3 + 5t = 6 Add '3' to each side of the equation. -3 + 3 + 5t = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 5t = 6 + 3 5t = 6 + 3 Combine like terms: 6 + 3 = 9 5t = 9 Divide each side by '5'. t = 1.8 Simplifying t = 1.8
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