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Simplifying 4(2t + 5) = 4t + 10 Reorder the terms: 4(5 + 2t) = 4t + 10 (5 * 4 + 2t * 4) = 4t + 10 (20 + 8t) = 4t + 10 Reorder the terms: 20 + 8t = 10 + 4t Solving 20 + 8t = 10 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 20 + 8t + -4t = 10 + 4t + -4t Combine like terms: 8t + -4t = 4t 20 + 4t = 10 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + 4t = 10 + 0 20 + 4t = 10 Add '-20' to each side of the equation. 20 + -20 + 4t = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 4t = 10 + -20 4t = 10 + -20 Combine like terms: 10 + -20 = -10 4t = -10 Divide each side by '4'. t = -2.5 Simplifying t = -2.5
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