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Simplifying 11t + 16 + -12 = 6t + -42 + 8 Reorder the terms: 16 + -12 + 11t = 6t + -42 + 8 Combine like terms: 16 + -12 = 4 4 + 11t = 6t + -42 + 8 Reorder the terms: 4 + 11t = -42 + 8 + 6t Combine like terms: -42 + 8 = -34 4 + 11t = -34 + 6t Solving 4 + 11t = -34 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 4 + 11t + -6t = -34 + 6t + -6t Combine like terms: 11t + -6t = 5t 4 + 5t = -34 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + 5t = -34 + 0 4 + 5t = -34 Add '-4' to each side of the equation. 4 + -4 + 5t = -34 + -4 Combine like terms: 4 + -4 = 0 0 + 5t = -34 + -4 5t = -34 + -4 Combine like terms: -34 + -4 = -38 5t = -38 Divide each side by '5'. t = -7.6 Simplifying t = -7.6
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