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Simplifying 10t + -38 = 12 + -15t Reorder the terms: -38 + 10t = 12 + -15t Solving -38 + 10t = 12 + -15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15t' to each side of the equation. -38 + 10t + 15t = 12 + -15t + 15t Combine like terms: 10t + 15t = 25t -38 + 25t = 12 + -15t + 15t Combine like terms: -15t + 15t = 0 -38 + 25t = 12 + 0 -38 + 25t = 12 Add '38' to each side of the equation. -38 + 38 + 25t = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 25t = 12 + 38 25t = 12 + 38 Combine like terms: 12 + 38 = 50 25t = 50 Divide each side by '25'. t = 2 Simplifying t = 2
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