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Simplifying 4(6t + 4) = 4(5t + -5) Reorder the terms: 4(4 + 6t) = 4(5t + -5) (4 * 4 + 6t * 4) = 4(5t + -5) (16 + 24t) = 4(5t + -5) Reorder the terms: 16 + 24t = 4(-5 + 5t) 16 + 24t = (-5 * 4 + 5t * 4) 16 + 24t = (-20 + 20t) Solving 16 + 24t = -20 + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. 16 + 24t + -20t = -20 + 20t + -20t Combine like terms: 24t + -20t = 4t 16 + 4t = -20 + 20t + -20t Combine like terms: 20t + -20t = 0 16 + 4t = -20 + 0 16 + 4t = -20 Add '-16' to each side of the equation. 16 + -16 + 4t = -20 + -16 Combine like terms: 16 + -16 = 0 0 + 4t = -20 + -16 4t = -20 + -16 Combine like terms: -20 + -16 = -36 4t = -36 Divide each side by '4'. t = -9 Simplifying t = -9
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