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Simplifying 8 = 8t + -4(t + 8) Reorder the terms: 8 = 8t + -4(8 + t) 8 = 8t + (8 * -4 + t * -4) 8 = 8t + (-32 + -4t) Reorder the terms: 8 = -32 + 8t + -4t Combine like terms: 8t + -4t = 4t 8 = -32 + 4t Solving 8 = -32 + 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. 8 + -4t = -32 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -4t = -32 + 0 8 + -4t = -32 Add '-8' to each side of the equation. 8 + -8 + -4t = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = -32 + -8 -4t = -32 + -8 Combine like terms: -32 + -8 = -40 -4t = -40 Divide each side by '-4'. t = 10 Simplifying t = 10
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