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