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Simplifying 2(t + -7) = 4(5 + -3t) Reorder the terms: 2(-7 + t) = 4(5 + -3t) (-7 * 2 + t * 2) = 4(5 + -3t) (-14 + 2t) = 4(5 + -3t) -14 + 2t = (5 * 4 + -3t * 4) -14 + 2t = (20 + -12t) Solving -14 + 2t = 20 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. -14 + 2t + 12t = 20 + -12t + 12t Combine like terms: 2t + 12t = 14t -14 + 14t = 20 + -12t + 12t Combine like terms: -12t + 12t = 0 -14 + 14t = 20 + 0 -14 + 14t = 20 Add '14' to each side of the equation. -14 + 14 + 14t = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 14t = 20 + 14 14t = 20 + 14 Combine like terms: 20 + 14 = 34 14t = 34 Divide each side by '14'. t = 2.428571429 Simplifying t = 2.428571429
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