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Simplifying -15 + 3t + 4t = 30 + -2t Combine like terms: 3t + 4t = 7t -15 + 7t = 30 + -2t Solving -15 + 7t = 30 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -15 + 7t + 2t = 30 + -2t + 2t Combine like terms: 7t + 2t = 9t -15 + 9t = 30 + -2t + 2t Combine like terms: -2t + 2t = 0 -15 + 9t = 30 + 0 -15 + 9t = 30 Add '15' to each side of the equation. -15 + 15 + 9t = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 9t = 30 + 15 9t = 30 + 15 Combine like terms: 30 + 15 = 45 9t = 45 Divide each side by '9'. t = 5 Simplifying t = 5
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