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Simplifying 2(t + -9) + -3(3t + -7) = 18 + -5(5t + 4) Reorder the terms: 2(-9 + t) + -3(3t + -7) = 18 + -5(5t + 4) (-9 * 2 + t * 2) + -3(3t + -7) = 18 + -5(5t + 4) (-18 + 2t) + -3(3t + -7) = 18 + -5(5t + 4) Reorder the terms: -18 + 2t + -3(-7 + 3t) = 18 + -5(5t + 4) -18 + 2t + (-7 * -3 + 3t * -3) = 18 + -5(5t + 4) -18 + 2t + (21 + -9t) = 18 + -5(5t + 4) Reorder the terms: -18 + 21 + 2t + -9t = 18 + -5(5t + 4) Combine like terms: -18 + 21 = 3 3 + 2t + -9t = 18 + -5(5t + 4) Combine like terms: 2t + -9t = -7t 3 + -7t = 18 + -5(5t + 4) Reorder the terms: 3 + -7t = 18 + -5(4 + 5t) 3 + -7t = 18 + (4 * -5 + 5t * -5) 3 + -7t = 18 + (-20 + -25t) Combine like terms: 18 + -20 = -2 3 + -7t = -2 + -25t Solving 3 + -7t = -2 + -25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25t' to each side of the equation. 3 + -7t + 25t = -2 + -25t + 25t Combine like terms: -7t + 25t = 18t 3 + 18t = -2 + -25t + 25t Combine like terms: -25t + 25t = 0 3 + 18t = -2 + 0 3 + 18t = -2 Add '-3' to each side of the equation. 3 + -3 + 18t = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 18t = -2 + -3 18t = -2 + -3 Combine like terms: -2 + -3 = -5 18t = -5 Divide each side by '18'. t = -0.2777777778 Simplifying t = -0.2777777778
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