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Simplifying 4(3t + 5) = 4(5t + -7) Reorder the terms: 4(5 + 3t) = 4(5t + -7) (5 * 4 + 3t * 4) = 4(5t + -7) (20 + 12t) = 4(5t + -7) Reorder the terms: 20 + 12t = 4(-7 + 5t) 20 + 12t = (-7 * 4 + 5t * 4) 20 + 12t = (-28 + 20t) Solving 20 + 12t = -28 + 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. 20 + 12t + -20t = -28 + 20t + -20t Combine like terms: 12t + -20t = -8t 20 + -8t = -28 + 20t + -20t Combine like terms: 20t + -20t = 0 20 + -8t = -28 + 0 20 + -8t = -28 Add '-20' to each side of the equation. 20 + -20 + -8t = -28 + -20 Combine like terms: 20 + -20 = 0 0 + -8t = -28 + -20 -8t = -28 + -20 Combine like terms: -28 + -20 = -48 -8t = -48 Divide each side by '-8'. t = 6 Simplifying t = 6
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