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Simplifying 2(4t + -7) = 21t + 8 Reorder the terms: 2(-7 + 4t) = 21t + 8 (-7 * 2 + 4t * 2) = 21t + 8 (-14 + 8t) = 21t + 8 Reorder the terms: -14 + 8t = 8 + 21t Solving -14 + 8t = 8 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -14 + 8t + -21t = 8 + 21t + -21t Combine like terms: 8t + -21t = -13t -14 + -13t = 8 + 21t + -21t Combine like terms: 21t + -21t = 0 -14 + -13t = 8 + 0 -14 + -13t = 8 Add '14' to each side of the equation. -14 + 14 + -13t = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -13t = 8 + 14 -13t = 8 + 14 Combine like terms: 8 + 14 = 22 -13t = 22 Divide each side by '-13'. t = -1.692307692 Simplifying t = -1.692307692
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