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Simplifying -24 = 4 + -3(2t + -4) + t Reorder the terms: -24 = 4 + -3(-4 + 2t) + t -24 = 4 + (-4 * -3 + 2t * -3) + t -24 = 4 + (12 + -6t) + t Combine like terms: 4 + 12 = 16 -24 = 16 + -6t + t Combine like terms: -6t + t = -5t -24 = 16 + -5t Solving -24 = 16 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -24 + 5t = 16 + -5t + 5t Combine like terms: -5t + 5t = 0 -24 + 5t = 16 + 0 -24 + 5t = 16 Add '24' to each side of the equation. -24 + 24 + 5t = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 5t = 16 + 24 5t = 16 + 24 Combine like terms: 16 + 24 = 40 5t = 40 Divide each side by '5'. t = 8 Simplifying t = 8
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