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Simplifying 20 + -3t = 15 + -5(t + 3) Reorder the terms: 20 + -3t = 15 + -5(3 + t) 20 + -3t = 15 + (3 * -5 + t * -5) 20 + -3t = 15 + (-15 + -5t) Combine like terms: 15 + -15 = 0 20 + -3t = 0 + -5t 20 + -3t = -5t Solving 20 + -3t = -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 + -3t + 5t = -5t + 5t Combine like terms: -3t + 5t = 2t 20 + 2t = -5t + 5t Combine like terms: -5t + 5t = 0 20 + 2t = 0 Add '-20' to each side of the equation. 20 + -20 + 2t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2t = 0 + -20 2t = 0 + -20 Combine like terms: 0 + -20 = -20 2t = -20 Divide each side by '2'. t = -10 Simplifying t = -10
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