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Simplifying 15 + 4t = 4(2t + 8) Reorder the terms: 15 + 4t = 4(8 + 2t) 15 + 4t = (8 * 4 + 2t * 4) 15 + 4t = (32 + 8t) Solving 15 + 4t = 32 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 15 + 4t + -8t = 32 + 8t + -8t Combine like terms: 4t + -8t = -4t 15 + -4t = 32 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -4t = 32 + 0 15 + -4t = 32 Add '-15' to each side of the equation. 15 + -15 + -4t = 32 + -15 Combine like terms: 15 + -15 = 0 0 + -4t = 32 + -15 -4t = 32 + -15 Combine like terms: 32 + -15 = 17 -4t = 17 Divide each side by '-4'. t = -4.25 Simplifying t = -4.25
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