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Simplifying 8 + -1t * 3 = 3(t + 2) * 4 Reorder the terms for easier multiplication: 8 + -1 * 3t = 3(t + 2) * 4 Multiply -1 * 3 8 + -3t = 3(t + 2) * 4 Reorder the terms: 8 + -3t = 3(2 + t) * 4 Reorder the terms for easier multiplication: 8 + -3t = 3 * 4(2 + t) Multiply 3 * 4 8 + -3t = 12(2 + t) 8 + -3t = (2 * 12 + t * 12) 8 + -3t = (24 + 12t) Solving 8 + -3t = 24 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 8 + -3t + -12t = 24 + 12t + -12t Combine like terms: -3t + -12t = -15t 8 + -15t = 24 + 12t + -12t Combine like terms: 12t + -12t = 0 8 + -15t = 24 + 0 8 + -15t = 24 Add '-8' to each side of the equation. 8 + -8 + -15t = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -15t = 24 + -8 -15t = 24 + -8 Combine like terms: 24 + -8 = 16 -15t = 16 Divide each side by '-15'. t = -1.066666667 Simplifying t = -1.066666667
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