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Simplifying 5(4t + -4) = 2(16t + 8) Reorder the terms: 5(-4 + 4t) = 2(16t + 8) (-4 * 5 + 4t * 5) = 2(16t + 8) (-20 + 20t) = 2(16t + 8) Reorder the terms: -20 + 20t = 2(8 + 16t) -20 + 20t = (8 * 2 + 16t * 2) -20 + 20t = (16 + 32t) Solving -20 + 20t = 16 + 32t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32t' to each side of the equation. -20 + 20t + -32t = 16 + 32t + -32t Combine like terms: 20t + -32t = -12t -20 + -12t = 16 + 32t + -32t Combine like terms: 32t + -32t = 0 -20 + -12t = 16 + 0 -20 + -12t = 16 Add '20' to each side of the equation. -20 + 20 + -12t = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -12t = 16 + 20 -12t = 16 + 20 Combine like terms: 16 + 20 = 36 -12t = 36 Divide each side by '-12'. t = -3 Simplifying t = -3
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