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Simplifying 22t + -10 = 54t + -74 Reorder the terms: -10 + 22t = 54t + -74 Reorder the terms: -10 + 22t = -74 + 54t Solving -10 + 22t = -74 + 54t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-54t' to each side of the equation. -10 + 22t + -54t = -74 + 54t + -54t Combine like terms: 22t + -54t = -32t -10 + -32t = -74 + 54t + -54t Combine like terms: 54t + -54t = 0 -10 + -32t = -74 + 0 -10 + -32t = -74 Add '10' to each side of the equation. -10 + 10 + -32t = -74 + 10 Combine like terms: -10 + 10 = 0 0 + -32t = -74 + 10 -32t = -74 + 10 Combine like terms: -74 + 10 = -64 -32t = -64 Divide each side by '-32'. t = 2 Simplifying t = 2
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