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Simplifying 30 = 10t + -7t + -6 Reorder the terms: 30 = -6 + 10t + -7t Combine like terms: 10t + -7t = 3t 30 = -6 + 3t Solving 30 = -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. 30 + -3t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 30 + -3t = -6 + 0 30 + -3t = -6 Add '-30' to each side of the equation. 30 + -30 + -3t = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -3t = -6 + -30 -3t = -6 + -30 Combine like terms: -6 + -30 = -36 -3t = -36 Divide each side by '-3'. t = 12 Simplifying t = 12
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