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Simplifying -4(t + 6) + -8t + -8 = 16 Reorder the terms: -4(6 + t) + -8t + -8 = 16 (6 * -4 + t * -4) + -8t + -8 = 16 (-24 + -4t) + -8t + -8 = 16 Reorder the terms: -24 + -8 + -4t + -8t = 16 Combine like terms: -24 + -8 = -32 -32 + -4t + -8t = 16 Combine like terms: -4t + -8t = -12t -32 + -12t = 16 Solving -32 + -12t = 16 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -12t = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -12t = 16 + 32 -12t = 16 + 32 Combine like terms: 16 + 32 = 48 -12t = 48 Divide each side by '-12'. t = -4 Simplifying t = -4
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