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Simplifying 5t + 3y + 6 + 7t + 10 = 0 Reorder the terms: 6 + 10 + 5t + 7t + 3y = 0 Combine like terms: 6 + 10 = 16 16 + 5t + 7t + 3y = 0 Combine like terms: 5t + 7t = 12t 16 + 12t + 3y = 0 Solving 16 + 12t + 3y = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 12t + -16 + 3y = 0 + -16 Reorder the terms: 16 + -16 + 12t + 3y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 12t + 3y = 0 + -16 12t + 3y = 0 + -16 Combine like terms: 0 + -16 = -16 12t + 3y = -16 Add '-3y' to each side of the equation. 12t + 3y + -3y = -16 + -3y Combine like terms: 3y + -3y = 0 12t + 0 = -16 + -3y 12t = -16 + -3y Divide each side by '12'. t = -1.333333333 + -0.25y Simplifying t = -1.333333333 + -0.25y
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