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Simplifying 7t + -1 = 19t + -61 Reorder the terms: -1 + 7t = 19t + -61 Reorder the terms: -1 + 7t = -61 + 19t Solving -1 + 7t = -61 + 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. -1 + 7t + -19t = -61 + 19t + -19t Combine like terms: 7t + -19t = -12t -1 + -12t = -61 + 19t + -19t Combine like terms: 19t + -19t = 0 -1 + -12t = -61 + 0 -1 + -12t = -61 Add '1' to each side of the equation. -1 + 1 + -12t = -61 + 1 Combine like terms: -1 + 1 = 0 0 + -12t = -61 + 1 -12t = -61 + 1 Combine like terms: -61 + 1 = -60 -12t = -60 Divide each side by '-12'. t = 5 Simplifying t = 5
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