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Simplifying 6t + -8 = 3(3t + 1) Reorder the terms: -8 + 6t = 3(3t + 1) Reorder the terms: -8 + 6t = 3(1 + 3t) -8 + 6t = (1 * 3 + 3t * 3) -8 + 6t = (3 + 9t) Solving -8 + 6t = 3 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -8 + 6t + -9t = 3 + 9t + -9t Combine like terms: 6t + -9t = -3t -8 + -3t = 3 + 9t + -9t Combine like terms: 9t + -9t = 0 -8 + -3t = 3 + 0 -8 + -3t = 3 Add '8' to each side of the equation. -8 + 8 + -3t = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -3t = 3 + 8 -3t = 3 + 8 Combine like terms: 3 + 8 = 11 -3t = 11 Divide each side by '-3'. t = -3.666666667 Simplifying t = -3.666666667
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