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Simplifying 9t + -10 + 2t = 4 + 5t + -20 Reorder the terms: -10 + 9t + 2t = 4 + 5t + -20 Combine like terms: 9t + 2t = 11t -10 + 11t = 4 + 5t + -20 Reorder the terms: -10 + 11t = 4 + -20 + 5t Combine like terms: 4 + -20 = -16 -10 + 11t = -16 + 5t Solving -10 + 11t = -16 + 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. -10 + 11t + -5t = -16 + 5t + -5t Combine like terms: 11t + -5t = 6t -10 + 6t = -16 + 5t + -5t Combine like terms: 5t + -5t = 0 -10 + 6t = -16 + 0 -10 + 6t = -16 Add '10' to each side of the equation. -10 + 10 + 6t = -16 + 10 Combine like terms: -10 + 10 = 0 0 + 6t = -16 + 10 6t = -16 + 10 Combine like terms: -16 + 10 = -6 6t = -6 Divide each side by '6'. t = -1 Simplifying t = -1
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