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Simplifying 6t + 20 = -5t + -46 Reorder the terms: 20 + 6t = -5t + -46 Reorder the terms: 20 + 6t = -46 + -5t Solving 20 + 6t = -46 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 20 + 6t + 5t = -46 + -5t + 5t Combine like terms: 6t + 5t = 11t 20 + 11t = -46 + -5t + 5t Combine like terms: -5t + 5t = 0 20 + 11t = -46 + 0 20 + 11t = -46 Add '-20' to each side of the equation. 20 + -20 + 11t = -46 + -20 Combine like terms: 20 + -20 = 0 0 + 11t = -46 + -20 11t = -46 + -20 Combine like terms: -46 + -20 = -66 11t = -66 Divide each side by '11'. t = -6 Simplifying t = -6
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