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Simplifying 2(t + -9) = 15 + -3(6t + 5) Reorder the terms: 2(-9 + t) = 15 + -3(6t + 5) (-9 * 2 + t * 2) = 15 + -3(6t + 5) (-18 + 2t) = 15 + -3(6t + 5) Reorder the terms: -18 + 2t = 15 + -3(5 + 6t) -18 + 2t = 15 + (5 * -3 + 6t * -3) -18 + 2t = 15 + (-15 + -18t) Combine like terms: 15 + -15 = 0 -18 + 2t = 0 + -18t -18 + 2t = -18t Solving -18 + 2t = -18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18t' to each side of the equation. -18 + 2t + 18t = -18t + 18t Combine like terms: 2t + 18t = 20t -18 + 20t = -18t + 18t Combine like terms: -18t + 18t = 0 -18 + 20t = 0 Add '18' to each side of the equation. -18 + 18 + 20t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 20t = 0 + 18 20t = 0 + 18 Combine like terms: 0 + 18 = 18 20t = 18 Divide each side by '20'. t = 0.9 Simplifying t = 0.9
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