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Simplifying (50 * 6) + (-31 * 50) = t(6 + -31) Multiply 50 * 6 (300) + (-31 * 50) = t(6 + -31) 300 + (-31 * 50) = t(6 + -31) Multiply -31 * 50 300 + (-1550) = t(6 + -31) 300 + -1550 = t(6 + -31) Combine like terms: 300 + -1550 = -1250 -1250 = t(6 + -31) Combine like terms: 6 + -31 = -25 -1250 = t(-25) Reorder the terms for easier multiplication: -1250 = -25t Solving -1250 = -25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25t' to each side of the equation. -1250 + 25t = -25t + 25t Combine like terms: -25t + 25t = 0 -1250 + 25t = 0 Add '1250' to each side of the equation. -1250 + 1250 + 25t = 0 + 1250 Combine like terms: -1250 + 1250 = 0 0 + 25t = 0 + 1250 25t = 0 + 1250 Combine like terms: 0 + 1250 = 1250 25t = 1250 Divide each side by '25'. t = 50 Simplifying t = 50
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