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Simplifying 5(3t + -5) = 6(2t + 3) Reorder the terms: 5(-5 + 3t) = 6(2t + 3) (-5 * 5 + 3t * 5) = 6(2t + 3) (-25 + 15t) = 6(2t + 3) Reorder the terms: -25 + 15t = 6(3 + 2t) -25 + 15t = (3 * 6 + 2t * 6) -25 + 15t = (18 + 12t) Solving -25 + 15t = 18 + 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. -25 + 15t + -12t = 18 + 12t + -12t Combine like terms: 15t + -12t = 3t -25 + 3t = 18 + 12t + -12t Combine like terms: 12t + -12t = 0 -25 + 3t = 18 + 0 -25 + 3t = 18 Add '25' to each side of the equation. -25 + 25 + 3t = 18 + 25 Combine like terms: -25 + 25 = 0 0 + 3t = 18 + 25 3t = 18 + 25 Combine like terms: 18 + 25 = 43 3t = 43 Divide each side by '3'. t = 14.33333333 Simplifying t = 14.33333333
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