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Simplifying -7t + 12t + 10 = 11t + 11 Reorder the terms: 10 + -7t + 12t = 11t + 11 Combine like terms: -7t + 12t = 5t 10 + 5t = 11t + 11 Reorder the terms: 10 + 5t = 11 + 11t Solving 10 + 5t = 11 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 10 + 5t + -11t = 11 + 11t + -11t Combine like terms: 5t + -11t = -6t 10 + -6t = 11 + 11t + -11t Combine like terms: 11t + -11t = 0 10 + -6t = 11 + 0 10 + -6t = 11 Add '-10' to each side of the equation. 10 + -10 + -6t = 11 + -10 Combine like terms: 10 + -10 = 0 0 + -6t = 11 + -10 -6t = 11 + -10 Combine like terms: 11 + -10 = 1 -6t = 1 Divide each side by '-6'. t = -0.1666666667 Simplifying t = -0.1666666667
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