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Simplifying 3t + -10 = -52 + 9t Reorder the terms: -10 + 3t = -52 + 9t Solving -10 + 3t = -52 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -10 + 3t + -9t = -52 + 9t + -9t Combine like terms: 3t + -9t = -6t -10 + -6t = -52 + 9t + -9t Combine like terms: 9t + -9t = 0 -10 + -6t = -52 + 0 -10 + -6t = -52 Add '10' to each side of the equation. -10 + 10 + -6t = -52 + 10 Combine like terms: -10 + 10 = 0 0 + -6t = -52 + 10 -6t = -52 + 10 Combine like terms: -52 + 10 = -42 -6t = -42 Divide each side by '-6'. t = 7 Simplifying t = 7
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