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Simplifying 8(-9t + 13) = -4(15t + 4) + 12 Reorder the terms: 8(13 + -9t) = -4(15t + 4) + 12 (13 * 8 + -9t * 8) = -4(15t + 4) + 12 (104 + -72t) = -4(15t + 4) + 12 Reorder the terms: 104 + -72t = -4(4 + 15t) + 12 104 + -72t = (4 * -4 + 15t * -4) + 12 104 + -72t = (-16 + -60t) + 12 Reorder the terms: 104 + -72t = -16 + 12 + -60t Combine like terms: -16 + 12 = -4 104 + -72t = -4 + -60t Solving 104 + -72t = -4 + -60t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '60t' to each side of the equation. 104 + -72t + 60t = -4 + -60t + 60t Combine like terms: -72t + 60t = -12t 104 + -12t = -4 + -60t + 60t Combine like terms: -60t + 60t = 0 104 + -12t = -4 + 0 104 + -12t = -4 Add '-104' to each side of the equation. 104 + -104 + -12t = -4 + -104 Combine like terms: 104 + -104 = 0 0 + -12t = -4 + -104 -12t = -4 + -104 Combine like terms: -4 + -104 = -108 -12t = -108 Divide each side by '-12'. t = 9 Simplifying t = 9
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