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Simplifying 4(4t + -23) + -8 = 12 Reorder the terms: 4(-23 + 4t) + -8 = 12 (-23 * 4 + 4t * 4) + -8 = 12 (-92 + 16t) + -8 = 12 Reorder the terms: -92 + -8 + 16t = 12 Combine like terms: -92 + -8 = -100 -100 + 16t = 12 Solving -100 + 16t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 16t = 12 + 100 Combine like terms: -100 + 100 = 0 0 + 16t = 12 + 100 16t = 12 + 100 Combine like terms: 12 + 100 = 112 16t = 112 Divide each side by '16'. t = 7 Simplifying t = 7
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