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Simplifying -4(t + 4) = -8t + -24 Reorder the terms: -4(4 + t) = -8t + -24 (4 * -4 + t * -4) = -8t + -24 (-16 + -4t) = -8t + -24 Reorder the terms: -16 + -4t = -24 + -8t Solving -16 + -4t = -24 + -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. -16 + -4t + 8t = -24 + -8t + 8t Combine like terms: -4t + 8t = 4t -16 + 4t = -24 + -8t + 8t Combine like terms: -8t + 8t = 0 -16 + 4t = -24 + 0 -16 + 4t = -24 Add '16' to each side of the equation. -16 + 16 + 4t = -24 + 16 Combine like terms: -16 + 16 = 0 0 + 4t = -24 + 16 4t = -24 + 16 Combine like terms: -24 + 16 = -8 4t = -8 Divide each side by '4'. t = -2 Simplifying t = -2
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