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Simplifying 46t + -11 = 55t + -74 Reorder the terms: -11 + 46t = 55t + -74 Reorder the terms: -11 + 46t = -74 + 55t Solving -11 + 46t = -74 + 55t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-55t' to each side of the equation. -11 + 46t + -55t = -74 + 55t + -55t Combine like terms: 46t + -55t = -9t -11 + -9t = -74 + 55t + -55t Combine like terms: 55t + -55t = 0 -11 + -9t = -74 + 0 -11 + -9t = -74 Add '11' to each side of the equation. -11 + 11 + -9t = -74 + 11 Combine like terms: -11 + 11 = 0 0 + -9t = -74 + 11 -9t = -74 + 11 Combine like terms: -74 + 11 = -63 -9t = -63 Divide each side by '-9'. t = 7 Simplifying t = 7
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