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Simplifying 30 = 2t(7 + 2) Combine like terms: 7 + 2 = 9 30 = 2t(9) Reorder the terms for easier multiplication: 30 = 2 * 9t Multiply 2 * 9 30 = 18t Solving 30 = 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 30 + -18t = 18t + -18t Combine like terms: 18t + -18t = 0 30 + -18t = 0 Add '-30' to each side of the equation. 30 + -30 + -18t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -18t = 0 + -30 -18t = 0 + -30 Combine like terms: 0 + -30 = -30 -18t = -30 Divide each side by '-18'. t = 1.666666667 Simplifying t = 1.666666667
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