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Simplifying 42t + -12 = 54t + -96 Reorder the terms: -12 + 42t = 54t + -96 Reorder the terms: -12 + 42t = -96 + 54t Solving -12 + 42t = -96 + 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. -12 + 42t + -54t = -96 + 54t + -54t Combine like terms: 42t + -54t = -12t -12 + -12t = -96 + 54t + -54t Combine like terms: 54t + -54t = 0 -12 + -12t = -96 + 0 -12 + -12t = -96 Add '12' to each side of the equation. -12 + 12 + -12t = -96 + 12 Combine like terms: -12 + 12 = 0 0 + -12t = -96 + 12 -12t = -96 + 12 Combine like terms: -96 + 12 = -84 -12t = -84 Divide each side by '-12'. t = 7 Simplifying t = 7
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