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Simplifying 2(4t + -6) = 21t + 8 Reorder the terms: 2(-6 + 4t) = 21t + 8 (-6 * 2 + 4t * 2) = 21t + 8 (-12 + 8t) = 21t + 8 Reorder the terms: -12 + 8t = 8 + 21t Solving -12 + 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. -12 + 8t + -21t = 8 + 21t + -21t Combine like terms: 8t + -21t = -13t -12 + -13t = 8 + 21t + -21t Combine like terms: 21t + -21t = 0 -12 + -13t = 8 + 0 -12 + -13t = 8 Add '12' to each side of the equation. -12 + 12 + -13t = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -13t = 8 + 12 -13t = 8 + 12 Combine like terms: 8 + 12 = 20 -13t = 20 Divide each side by '-13'. t = -1.538461538 Simplifying t = -1.538461538
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