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Simplifying 3(4 + 6) = 12 + 8t Combine like terms: 4 + 6 = 10 3(10) = 12 + 8t Multiply 3 * 10 30 = 12 + 8t Solving 30 = 12 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 30 + -8t = 12 + 8t + -8t Combine like terms: 8t + -8t = 0 30 + -8t = 12 + 0 30 + -8t = 12 Add '-30' to each side of the equation. 30 + -30 + -8t = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -8t = 12 + -30 -8t = 12 + -30 Combine like terms: 12 + -30 = -18 -8t = -18 Divide each side by '-8'. t = 2.25 Simplifying t = 2.25
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