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Simplifying 8(6t + -1) = 5(9t + 2) Reorder the terms: 8(-1 + 6t) = 5(9t + 2) (-1 * 8 + 6t * 8) = 5(9t + 2) (-8 + 48t) = 5(9t + 2) Reorder the terms: -8 + 48t = 5(2 + 9t) -8 + 48t = (2 * 5 + 9t * 5) -8 + 48t = (10 + 45t) Solving -8 + 48t = 10 + 45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45t' to each side of the equation. -8 + 48t + -45t = 10 + 45t + -45t Combine like terms: 48t + -45t = 3t -8 + 3t = 10 + 45t + -45t Combine like terms: 45t + -45t = 0 -8 + 3t = 10 + 0 -8 + 3t = 10 Add '8' to each side of the equation. -8 + 8 + 3t = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3t = 10 + 8 3t = 10 + 8 Combine like terms: 10 + 8 = 18 3t = 18 Divide each side by '3'. t = 6 Simplifying t = 6
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