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Simplifying 10t + -3 = t + 15 Reorder the terms: -3 + 10t = t + 15 Reorder the terms: -3 + 10t = 15 + t Solving -3 + 10t = 15 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -3 + 10t + -1t = 15 + t + -1t Combine like terms: 10t + -1t = 9t -3 + 9t = 15 + t + -1t Combine like terms: t + -1t = 0 -3 + 9t = 15 + 0 -3 + 9t = 15 Add '3' to each side of the equation. -3 + 3 + 9t = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 9t = 15 + 3 9t = 15 + 3 Combine like terms: 15 + 3 = 18 9t = 18 Divide each side by '9'. t = 2 Simplifying t = 2
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